1540125430032 has 320 divisors, whose sum is σ = 4719012249600. Its totient is φ = 423785157120.

The previous prime is 1540125430001. The next prime is 1540125430069. The reversal of 1540125430032 is 2300345210451.

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, 205154823 + ... + 205162329.

It is an arithmetic number, because the mean of its divisors is an integer number (14746913280).

Almost surely, 2^{1540125430032} is an apocalyptic number.

1540125430032 is a gapful number since it is divisible by the number (12) 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 1540125430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359506124800).

1540125430032 is an abundant number, since it is smaller than the sum of its proper divisors (3178886819568).

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

1540125430032 is a wasteful number, since it uses less digits than its factorization.

1540125430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1540125430032 in words is "one trillion, five hundred forty billion, one hundred twenty-five million, four hundred thirty thousand, thirty-two".