400435104023120 has 80 divisors (see below), whose sum is σ = 963120272607360. Its totient is φ = 154650026936832.

The previous prime is 400435104023077. The next prime is 400435104023147. The reversal of 400435104023120 is 21320401534004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735276839 + ... + 735821241.

It is an arithmetic number, because the mean of its divisors is an integer number (12039003407592).

Almost surely, 2^{400435104023120} is an apocalyptic number.

400435104023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400435104023120 is an abundant number, since it is smaller than the sum of its proper divisors (562685168584240).

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

400435104023120 is a wasteful number, since it uses less digits than its factorization.

400435104023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861492 (or 861486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 400435104023120 its reverse (21320401534004), we get a palindrome (421755505557124).

The spelling of 400435104023120 in words is "four hundred trillion, four hundred thirty-five billion, one hundred four million, twenty-three thousand, one hundred twenty".