400405653120 has 256 divisors, whose sum is σ = 1452857057280. Its totient is φ = 92847575040.

The previous prime is 400405653119. The next prime is 400405653127. The reversal of 400405653120 is 21356504004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (400405653127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73617 + ... + 897903.

It is an arithmetic number, because the mean of its divisors is an integer number (5675222880).

Almost surely, 2^400405653120 is an apocalyptic number.

400405653120 is a gapful number since it is divisible by the number (40) 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 400405653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726428528640).

400405653120 is an abundant number, since it is smaller than the sum of its proper divisors (1052451404160).

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

400405653120 is a wasteful number, since it uses less digits than its factorization.

400405653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824343 (or 824331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 400405653120 in words is "four hundred billion, four hundred five million, six hundred fifty-three thousand, one hundred twenty".