1257240004320 has 96 divisors (see below), whose sum is σ = 3976084506240. Its totient is φ = 333928256000.

The previous prime is 1257240004291. The next prime is 1257240004337. The reversal of 1257240004320 is 234000427521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097150 + ... + 5338109.

It is an arithmetic number, because the mean of its divisors is an integer number (41417546940).

Almost surely, 2^{1257240004320} is an apocalyptic number.

1257240004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257240004320 is an abundant number, since it is smaller than the sum of its proper divisors (2718844501920).

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

1257240004320 is a wasteful number, since it uses less digits than its factorization.

1257240004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435528 (or 10435520 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 1257240004320 in words is "one trillion, two hundred fifty-seven billion, two hundred forty million, four thousand, three hundred twenty".