400004209577280 has 448 divisors, whose sum is σ = 1585746222870528. Its totient is φ = 82994244157440.

The previous prime is 400004209577279. The next prime is 400004209577299. The reversal of 400004209577280 is 82775902400004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45727869 + ... + 53768451.

Almost surely, 2^{400004209577280} is an apocalyptic number.

400004209577280 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 400004209577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792873111435264).

400004209577280 is an abundant number, since it is smaller than the sum of its proper divisors (1185742013293248).

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

400004209577280 is a wasteful number, since it uses less digits than its factorization.

400004209577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041294 (or 8041284 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 400004209577280 in words is "four hundred trillion, four billion, two hundred nine million, five hundred seventy-seven thousand, two hundred eighty".