1401057378 has 128 divisors (see below), whose sum is σ = 3762739200. Its totient is φ = 377493696.

The previous prime is 1401057377. The next prime is 1401057379. The reversal of 1401057378 is 8737501041.

1401057378 is a `hidden beast` number, since 1 + 4 + 0 + 10 + 573 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (1401057377) and next prime (1401057379).

It is not an unprimeable number, because it can be changed into a prime (1401057373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2678625 + ... + 2679147.

It is an arithmetic number, because the mean of its divisors is an integer number (29396400).

Almost surely, 2^1401057378 is an apocalyptic number.

1401057378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401057378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881369600).

1401057378 is an abundant number, since it is smaller than the sum of its proper divisors (2361681822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1401057378 is a wasteful number, since it uses less digits than its factorization.

1401057378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1401057378 is about 37430.7010086640. The cubic root of 1401057378 is about 1118.9705086061.

The spelling of 1401057378 in words is "one billion, four hundred one million, fifty-seven thousand, three hundred seventy-eight".