2400311132442 has 72 divisors (see below), whose sum is σ = 5333225642940. Its totient is φ = 780206515200.

The previous prime is 2400311132437. The next prime is 2400311132467. The reversal of 2400311132442 is 2442311130042.

2400311132442 is a `hidden beast` number, since 2 + 400 + 3 + 1 + 1 + 13 + 244 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 157298698881 + 2243012433561 = 396609^2 + 1497669^2 .

It is a super-2 number, since 2×2400311132442² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65369184 + ... + 65405892.

Almost surely, 2^{2400311132442} is an apocalyptic number.

2400311132442 is an abundant number, since it is smaller than the sum of its proper divisors (2932914510498).

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

2400311132442 is a wasteful number, since it uses less digits than its factorization.

2400311132442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 38916 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2400311132442 its reverse (2442311130042), we get a palindrome (4842622262484).

The spelling of 2400311132442 in words is "two trillion, four hundred billion, three hundred eleven million, one hundred thirty-two thousand, four hundred forty-two".