2431021340400 has 120 divisors (see below), whose sum is σ = 8197233438720. Its totient is φ = 614152753920.

The previous prime is 2431021340327. The next prime is 2431021340443. The reversal of 2431021340400 is 40431201342.

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, 53289072 + ... + 53334671.

It is an arithmetic number, because the mean of its divisors is an integer number (68310278656).

Almost surely, 2^{2431021340400} is an apocalyptic number.

2431021340400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431021340400 is an abundant number, since it is smaller than the sum of its proper divisors (5766212098320).

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

2431021340400 is a wasteful number, since it uses less digits than its factorization.

2431021340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106623783 (or 106623772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2431021340400 its reverse (40431201342), we get a palindrome (2471452541742).

The spelling of 2431021340400 in words is "two trillion, four hundred thirty-one billion, twenty-one million, three hundred forty thousand, four hundred".