400584903840 has 720 divisors, whose sum is σ = 1560110007456. Its totient is φ = 96726389760.

The previous prime is 400584903749. The next prime is 400584903847. The reversal of 400584903840 is 48309485004.

It is a happy number.

400584903840 is a `hidden beast` number, since 40 + 0 + 58 + 490 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (400584903847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 732330447 + ... + 732330993.

Almost surely, 2^400584903840 is an apocalyptic number.

400584903840 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 400584903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780055003728).

400584903840 is an abundant number, since it is smaller than the sum of its proper divisors (1159525103616).

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

400584903840 is a wasteful number, since it uses less digits than its factorization.

400584903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 400584903840 in words is "four hundred billion, five hundred eighty-four million, nine hundred three thousand, eight hundred forty".