400874120064 has 1024 divisors, whose sum is σ = 1443536640000. Its totient is φ = 108026265600.

The previous prime is 400874120063. The next prime is 400874120113. The reversal of 400874120064 is 460021478004.

400874120064 is a `hidden beast` number, since 400 + 8 + 7 + 41 + 200 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400874120063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2214774054 + ... + 2214774234.

It is an arithmetic number, because the mean of its divisors is an integer number (1409703750).

Almost surely, 2^400874120064 is an apocalyptic number.

400874120064 is a gapful number since it is divisible by the number (44) 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 400874120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320000).

400874120064 is an abundant number, since it is smaller than the sum of its proper divisors (1042662519936).

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

400874120064 is a wasteful number, since it uses less digits than its factorization.

400874120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 400874120064 its reverse (460021478004), we get a palindrome (860895598068).

The spelling of 400874120064 in words is "four hundred billion, eight hundred seventy-four million, one hundred twenty thousand, sixty-four".