400011007446 has 128 divisors (see below), whose sum is σ = 907677388800. Its totient is φ = 130555152000.

The previous prime is 400011007399. The next prime is 400011007541. The reversal of 400011007446 is 644700110004.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 487223716 + ... + 487224536.

It is an arithmetic number, because the mean of its divisors is an integer number (7091229600).

Almost surely, 2^400011007446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400011007446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453838694400).

400011007446 is an abundant number, since it is smaller than the sum of its proper divisors (507666381354).

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

400011007446 is a wasteful number, since it uses less digits than its factorization.

400011007446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 400011007446 in words is "four hundred billion, eleven million, seven thousand, four hundred forty-six".