1540257272001 has 48 divisors (see below), whose sum is σ = 2547980497920. Its totient is φ = 878301882720.

The previous prime is 1540257271939. The next prime is 1540257272023. The reversal of 1540257272001 is 1002727520451.

1540257272001 is a `hidden beast` number, since 1 + 540 + 25 + 72 + 7 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 1540257272001 - 2⁶ = 1540257271937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1540257272401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141836110 + ... + 141846968.

It is an arithmetic number, because the mean of its divisors is an integer number (53082927040).

Almost surely, 2^{1540257272001} is an apocalyptic number.

It is an amenable number.

1540257272001 is a deficient number, since it is larger than the sum of its proper divisors (1007723225919).

1540257272001 is a wasteful number, since it uses less digits than its factorization.

1540257272001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 1540257272001 in words is "one trillion, five hundred forty billion, two hundred fifty-seven million, two hundred seventy-two thousand, one".