400002949632 has 320 divisors, whose sum is σ = 1278602164224. Its totient is φ = 109505495040.

The previous prime is 400002949627. The next prime is 400002949657. The reversal of 400002949632 is 236949200004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10304083 + ... + 10342829.

Almost surely, 2^400002949632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400002949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639301082112).

400002949632 is an abundant number, since it is smaller than the sum of its proper divisors (878599214592).

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

400002949632 is a wasteful number, since it uses less digits than its factorization.

400002949632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38839 (or 38823 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 400002949632 in words is "four hundred billion, two million, nine hundred forty-nine thousand, six hundred thirty-two".