1290375414 has 64 divisors (see below), whose sum is σ = 2927232000. Its totient is φ = 421256160.

The previous prime is 1290375409. The next prime is 1290375461. The reversal of 1290375414 is 4145730921.

1290375414 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557692 + ... + 560000.

It is an arithmetic number, because the mean of its divisors is an integer number (45738000).

Almost surely, 2^1290375414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290375414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616000).

1290375414 is an abundant number, since it is smaller than the sum of its proper divisors (1636856586).

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

1290375414 is a wasteful number, since it uses less digits than its factorization.

1290375414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1290375414 is about 35921.7958070027. The cubic root of 1290375414 is about 1088.6928229233.

The spelling of 1290375414 in words is "one billion, two hundred ninety million, three hundred seventy-five thousand, four hundred fourteen".