7142896440 has 256 divisors, whose sum is σ = 24558336000. Its totient is φ = 1845711360.

The previous prime is 7142896429. The next prime is 7142896459. The reversal of 7142896440 is 446982417.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5532195 + ... + 5533485.

It is an arithmetic number, because the mean of its divisors is an integer number (95931000).

Almost surely, 2^7142896440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142896440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279168000).

7142896440 is an abundant number, since it is smaller than the sum of its proper divisors (17415439560).

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

7142896440 is a wasteful number, since it uses less digits than its factorization.

7142896440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7142896440 is about 84515.6579575643. The cubic root of 7142896440 is about 1925.8603173123.

The spelling of 7142896440 in words is "seven billion, one hundred forty-two million, eight hundred ninety-six thousand, four hundred forty".