1292725440 has 224 divisors, whose sum is σ = 4594311360. Its totient is φ = 342171648.

The previous prime is 1292725433. The next prime is 1292725463. The reversal of 1292725440 is 445272921.

It is a super-2 number, since 2×1292725440² = 3342278126446387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1292725395 and 1292725404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356004 + ... + 1356956.

Almost surely, 2^1292725440 is an apocalyptic number.

1292725440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297155680).

1292725440 is an abundant number, since it is smaller than the sum of its proper divisors (3301585920).

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

1292725440 is a wasteful number, since it uses less digits than its factorization.

1292725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1292725440 is about 35954.4912354493. The cubic root of 1292725440 is about 1089.3533296337.

The spelling of 1292725440 in words is "one billion, two hundred ninety-two million, seven hundred twenty-five thousand, four hundred forty".