400483742400 has 2016 divisors, whose sum is σ = 1861338009600. Its totient is φ = 83143065600.

The previous prime is 400483742381. The next prime is 400483742411. The reversal of 400483742400 is 4247384004.

It is a happy number.

400483742400 is a `hidden beast` number, since 4 + 0 + 0 + 48 + 374 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1115553421 + ... + 1115553779.

Almost surely, 2^400483742400 is an apocalyptic number.

400483742400 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 400483742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930669004800).

400483742400 is an abundant number, since it is smaller than the sum of its proper divisors (1460854267200).

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

400483742400 is a wasteful number, since it uses less digits than its factorization.

400483742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 400483742400 in words is "four hundred billion, four hundred eighty-three million, seven hundred forty-two thousand, four hundred".