400013663425040 has 320 divisors, whose sum is σ = 1077865300062720. Its totient is φ = 135228123955200.

The previous prime is 400013663424959. The next prime is 400013663425067. The reversal of 400013663425040 is 40524366310004.

It is a junction number, because it is equal to n+sod(n) for n = 400013663424985 and 400013663425003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13444466804 + ... + 13444496556.

It is an arithmetic number, because the mean of its divisors is an integer number (3368329062696).

Almost surely, 2^{400013663425040} is an apocalyptic number.

400013663425040 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 400013663425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538932650031360).

400013663425040 is an abundant number, since it is smaller than the sum of its proper divisors (677851636637680).

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

400013663425040 is a wasteful number, since it uses less digits than its factorization.

400013663425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30850 (or 30844 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 400013663425040 in words is "four hundred trillion, thirteen billion, six hundred sixty-three million, four hundred twenty-five thousand, forty".