400532428800 has 1728 divisors, whose sum is σ = 1756289152800. Its totient is φ = 90296156160.

The previous prime is 400532428757. The next prime is 400532428843. The reversal of 400532428800 is 8824235004.

400532428800 is a `hidden beast` number, since 4 + 0 + 0 + 532 + 42 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400532428757) and next prime (400532428843).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5486745564 + ... + 5486745636.

Almost surely, 2^400532428800 is an apocalyptic number.

400532428800 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 400532428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878144576400).

400532428800 is an abundant number, since it is smaller than the sum of its proper divisors (1355756724000).

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

400532428800 is an frugal number, since it uses more digits than its factorization.

400532428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 400532428800 in words is "four hundred billion, five hundred thirty-two million, four hundred twenty-eight thousand, eight hundred".