2431114040400 has 120 divisors (see below), whose sum is σ = 7977611941824. Its totient is φ = 632484940800.

The previous prime is 2431114040371. The next prime is 2431114040417. The reversal of 2431114040400 is 40404111342.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24657244 + ... + 24755643.

Almost surely, 2^{2431114040400} is an apocalyptic number.

2431114040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431114040400 is an abundant number, since it is smaller than the sum of its proper divisors (5546497901424).

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

2431114040400 is a wasteful number, since it uses less digits than its factorization.

2431114040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49412949 (or 49412938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2431114040400 its reverse (40404111342), we get a palindrome (2471518151742).

The spelling of 2431114040400 in words is "two trillion, four hundred thirty-one billion, one hundred fourteen million, forty thousand, four hundred".