400948141968 has 240 divisors, whose sum is σ = 1274987284480. Its totient is φ = 120540752640.

The previous prime is 400948141873. The next prime is 400948142003. The reversal of 400948141968 is 869141849004.

It is a happy number.

400948141968 is a `hidden beast` number, since 4 + 0 + 0 + 94 + 81 + 419 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6608346 + ... + 6668742.

Almost surely, 2^400948141968 is an apocalyptic number.

400948141968 is a gapful number since it is divisible by the number (48) 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 400948141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637493642240).

400948141968 is an abundant number, since it is smaller than the sum of its proper divisors (874039142512).

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

400948141968 is a wasteful number, since it uses less digits than its factorization.

400948141968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60563 (or 60540 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 400948141968 in words is "four hundred billion, nine hundred forty-eight million, one hundred forty-one thousand, nine hundred sixty-eight".