1540920979125 has 192 divisors, whose sum is σ = 3135656858880. Its totient is φ = 746130528000.

The previous prime is 1540920979009. The next prime is 1540920979151. The reversal of 1540920979125 is 5219790290451.

It is a happy number.

1540920979125 is a `hidden beast` number, since 1 + 5 + 409 + 20 + 97 + 9 + 125 = 666.

It is not a de Polignac number, because 1540920979125 - 2⁹ = 1540920978613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 382645362 + ... + 382649388.

It is an arithmetic number, because the mean of its divisors is an integer number (16331546140).

Almost surely, 2^{1540920979125} is an apocalyptic number.

1540920979125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540920979125 is an abundant number, since it is smaller than the sum of its proper divisors (1594735879755).

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

1540920979125 is a wasteful number, since it uses less digits than its factorization.

1540920979125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 1540920979125 in words is "one trillion, five hundred forty billion, nine hundred twenty million, nine hundred seventy-nine thousand, one hundred twenty-five".