400084084080 has 240 divisors, whose sum is σ = 1414180569984. Its totient is φ = 105096372480.

The previous prime is 400084084021. The next prime is 400084084109. The reversal of 400084084080 is 80480480004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148895 + ... + 1456065.

Almost surely, 2^400084084080 is an apocalyptic number.

400084084080 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 400084084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707090284992).

400084084080 is an abundant number, since it is smaller than the sum of its proper divisors (1014096485904).

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

400084084080 is a wasteful number, since it uses less digits than its factorization.

400084084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307266 (or 307248 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 400084084080 in words is "four hundred billion, eighty-four million, eighty-four thousand, eighty".