400124252000000 has 1134 divisors, whose sum is σ = 1137654200183592. Its totient is φ = 140339584000000.

The previous prime is 400124251999999. The next prime is 400124252000027. The reversal of 400124252000000 is 252421004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 407043999509 + ... + 407044000491.

Almost surely, 2^{400124252000000} is an apocalyptic number.

400124252000000 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 400124252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568827100091796).

400124252000000 is an abundant number, since it is smaller than the sum of its proper divisors (737529948183592).

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

400124252000000 is an frugal number, since it uses more digits than its factorization.

400124252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 400124252000000 in words is "four hundred trillion, one hundred twenty-four billion, two hundred fifty-two million", and thus it is an aban number.