400084808040 has 384 divisors, whose sum is σ = 1413159321600. Its totient is φ = 97820835840.

The previous prime is 400084808029. The next prime is 400084808047. The reversal of 400084808040 is 40808480004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400084807986 and 400084808004.

It is not an unprimeable number, because it can be changed into a prime (400084808047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48840345 + ... + 48848535.

It is an arithmetic number, because the mean of its divisors is an integer number (3680102400).

Almost surely, 2^400084808040 is an apocalyptic number.

400084808040 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 400084808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706579660800).

400084808040 is an abundant number, since it is smaller than the sum of its proper divisors (1013074513560).

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

400084808040 is a wasteful number, since it uses less digits than its factorization.

400084808040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8450 counting only the distinct ones).

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

The spelling of 400084808040 in words is "four hundred billion, eighty-four million, eight hundred eight thousand, forty".