400451198400 has 1008 divisors, whose sum is σ = 1603740666528. Its totient is φ = 93929472000.

The previous prime is 400451198393. The next prime is 400451198423. The reversal of 400451198400 is 4891154004.

It is a super-2 number, since 2×400451198400² (a number of 24 digits) contains 22 as substring.

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, 1279396644 + ... + 1279396956.

It is an arithmetic number, because the mean of its divisors is an integer number (1591012566).

Almost surely, 2^400451198400 is an apocalyptic number.

400451198400 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 400451198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801870333264).

400451198400 is an abundant number, since it is smaller than the sum of its proper divisors (1203289468128).

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

400451198400 is a wasteful number, since it uses less digits than its factorization.

400451198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 400451198400 in words is "four hundred billion, four hundred fifty-one million, one hundred ninety-eight thousand, four hundred".