400708788480 has 2592 divisors, whose sum is σ = 1958117333760. Its totient is φ = 76859228160.

The previous prime is 400708788457. The next prime is 400708788527. The reversal of 400708788480 is 84887807004.

It is a happy number.

400708788480 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 0 + 87 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30823752954 + ... + 30823752966.

Almost surely, 2^400708788480 is an apocalyptic number.

400708788480 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 400708788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979058666880).

400708788480 is an abundant number, since it is smaller than the sum of its proper divisors (1557408545280).

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

400708788480 is an equidigital number, since it uses as much as digits as its factorization.

400708788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 400708788480 in words is "four hundred billion, seven hundred eight million, seven hundred eighty-eight thousand, four hundred eighty".