2400401525056 has 56 divisors (see below), whose sum is σ = 4840357009640. Its totient is φ = 1180864438272.

The previous prime is 2400401525009. The next prime is 2400401525063. The reversal of 2400401525056 is 6505251040042.

It can be written as a sum of positive squares in 4 ways, for example, as 190969000000 + 2209432525056 = 437000^2 + 1486416^2 .

It is a super-3 number, since 3×2400401525056³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282750 + ... + 2538946.

Almost surely, 2^{2400401525056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400401525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420178504820).

2400401525056 is an abundant number, since it is smaller than the sum of its proper divisors (2439955484584).

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

2400401525056 is a wasteful number, since it uses less digits than its factorization.

2400401525056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256691 (or 1256681 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 2400401525056 its reverse (6505251040042), we get a palindrome (8905652565098).

The spelling of 2400401525056 in words is "two trillion, four hundred billion, four hundred one million, five hundred twenty-five thousand, fifty-six".