400150044052000 has 768 divisors, whose sum is σ = 1110931668467712. Its totient is φ = 140384640000000.

The previous prime is 400150044051973. The next prime is 400150044052027. The reversal of 400150044052000 is 250440051004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400150044051973) and next prime (400150044052027).

It is a super-3 number, since 3×400150044052000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213869611065 + ... + 213869612935.

It is an arithmetic number, because the mean of its divisors is an integer number (1446525609984).

Almost surely, 2^{400150044052000} is an apocalyptic number.

400150044052000 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 400150044052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555465834233856).

400150044052000 is an abundant number, since it is smaller than the sum of its proper divisors (710781624415712).

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

400150044052000 is a wasteful number, since it uses less digits than its factorization.

400150044052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 400150044052000 in words is "four hundred trillion, one hundred fifty billion, forty-four million, fifty-two thousand".