400045927680 has 576 divisors, whose sum is σ = 1625205657600. Its totient is φ = 91281530880.

The previous prime is 400045927679. The next prime is 400045927691. The reversal of 400045927680 is 86729540004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196196101 + ... + 196198139.

It is an arithmetic number, because the mean of its divisors is an integer number (2821537600).

Almost surely, 2^400045927680 is an apocalyptic number.

400045927680 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 400045927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812602828800).

400045927680 is an abundant number, since it is smaller than the sum of its proper divisors (1225159729920).

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

400045927680 is a wasteful number, since it uses less digits than its factorization.

400045927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 400045927680 in words is "four hundred billion, forty-five million, nine hundred twenty-seven thousand, six hundred eighty".