400076040000 has 560 divisors, whose sum is σ = 1628037961088. Its totient is φ = 84409344000.

The previous prime is 400076039989. The next prime is 400076040017. The reversal of 400076040000 is 40670004.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10901682 + ... + 10938318.

Almost surely, 2^400076040000 is an apocalyptic number.

400076040000 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 400076040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814018980544).

400076040000 is an abundant number, since it is smaller than the sum of its proper divisors (1227961921088).

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

400076040000 is a wasteful number, since it uses less digits than its factorization.

400076040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36692 (or 36667 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 400076040000 in words is "four hundred billion, seventy-six million, forty thousand".