400477420800 has 324 divisors, whose sum is σ = 1433365344684. Its totient is φ = 106677043200.

The previous prime is 400477420781. The next prime is 400477420807. The reversal of 400477420800 is 8024774004.

400477420800 is a `hidden beast` number, since 400 + 47 + 7 + 4 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8160592896 + 392316827904 = 90336^2 + 626352^2 .

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 (400477420807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61110324 + ... + 61116876.

Almost surely, 2^400477420800 is an apocalyptic number.

400477420800 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 400477420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716682672342).

400477420800 is an abundant number, since it is smaller than the sum of its proper divisors (1032887923884).

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

400477420800 is a wasteful number, since it uses less digits than its factorization.

400477420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 400477420800 in words is "four hundred billion, four hundred seventy-seven million, four hundred twenty thousand, eight hundred".