400094985600 has 384 divisors, whose sum is σ = 1469500291200. Its totient is φ = 106308495360.

The previous prime is 400094985569. The next prime is 400094985623. The reversal of 400094985600 is 6589490004.

It is a happy number.

400094985600 is a `hidden beast` number, since 40 + 0 + 0 + 9 + 49 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24443019 + ... + 24459381.

It is an arithmetic number, because the mean of its divisors is an integer number (3826823675).

Almost surely, 2^400094985600 is an apocalyptic number.

400094985600 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 400094985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734750145600).

400094985600 is an abundant number, since it is smaller than the sum of its proper divisors (1069405305600).

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

400094985600 is a wasteful number, since it uses less digits than its factorization.

400094985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 400094985600 in words is "four hundred billion, ninety-four million, nine hundred eighty-five thousand, six hundred".