400840026880 has 288 divisors, whose sum is σ = 1042084834560. Its totient is φ = 147209011200.

The previous prime is 400840026877. The next prime is 400840026907. The reversal of 400840026880 is 88620048004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276250155 + ... + 276251605.

It is an arithmetic number, because the mean of its divisors is an integer number (3618350120).

Almost surely, 2^400840026880 is an apocalyptic number.

400840026880 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 400840026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521042417280).

400840026880 is an abundant number, since it is smaller than the sum of its proper divisors (641244807680).

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

400840026880 is a wasteful number, since it uses less digits than its factorization.

400840026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 400840026880 in words is "four hundred billion, eight hundred forty million, twenty-six thousand, eight hundred eighty".