400424440248 has 240 divisors, whose sum is σ = 1309343032800. Its totient is φ = 113997300480.

The previous prime is 400424440231. The next prime is 400424440259. The reversal of 400424440248 is 842044424004.

400424440248 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 244 + 402 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8899873 + ... + 8944751.

It is an arithmetic number, because the mean of its divisors is an integer number (5455595970).

Almost surely, 2^400424440248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400424440248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654671516400).

400424440248 is an abundant number, since it is smaller than the sum of its proper divisors (908918592552).

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

400424440248 is a wasteful number, since it uses less digits than its factorization.

400424440248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45192 (or 45172 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 400424440248 in words is "four hundred billion, four hundred twenty-four million, four hundred forty thousand, two hundred forty-eight".