400465006169280 has 1344 divisors, whose sum is σ = 1454297211214848. Its totient is φ = 93136937287680.

The previous prime is 400465006169279. The next prime is 400465006169297. The reversal of 400465006169280 is 82961600564004.

It is a super-2 number, since 2×400465006169280² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310197525435 + ... + 310197526725.

It is an arithmetic number, because the mean of its divisors is an integer number (1082066377392).

Almost surely, 2^{400465006169280} is an apocalyptic number.

400465006169280 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 400465006169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727148605607424).

400465006169280 is an abundant number, since it is smaller than the sum of its proper divisors (1053832205045568).

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

400465006169280 is a wasteful number, since it uses less digits than its factorization.

400465006169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 400465006169280 in words is "four hundred trillion, four hundred sixty-five billion, six million, one hundred sixty-nine thousand, two hundred eighty".