2400431401104 has 160 divisors (see below), whose sum is σ = 6932912515200. Its totient is φ = 709348147200.

The previous prime is 2400431401097. The next prime is 2400431401127. The reversal of 2400431401104 is 4011041340042.

It is a super-2 number, since 2×2400431401104² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51433972 + ... + 51480620.

It is an arithmetic number, because the mean of its divisors is an integer number (43330703220).

Almost surely, 2^{2400431401104} is an apocalyptic number.

2400431401104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400431401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466456257600).

2400431401104 is an abundant number, since it is smaller than the sum of its proper divisors (4532481114096).

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

2400431401104 is a wasteful number, since it uses less digits than its factorization.

2400431401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49089 (or 49083 counting only the distinct ones).

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

Adding to 2400431401104 its reverse (4011041340042), we get a palindrome (6411472741146).

The spelling of 2400431401104 in words is "two trillion, four hundred billion, four hundred thirty-one million, four hundred one thousand, one hundred four".