400516651455144 has 128 divisors (see below), whose sum is σ = 1181677009920000. Its totient is φ = 110701642878720.

The previous prime is 400516651455131. The next prime is 400516651455157. The reversal of 400516651455144 is 441554156615004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400516651455131) and next prime (400516651455157).

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, 329139 + ... + 28304445.

It is an arithmetic number, because the mean of its divisors is an integer number (9231851640000).

Almost surely, 2^{400516651455144} 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 400516651455144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590838504960000).

400516651455144 is an abundant number, since it is smaller than the sum of its proper divisors (781160358464856).

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

400516651455144 is a wasteful number, since it uses less digits than its factorization.

400516651455144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27978103 (or 27978099 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 400516651455144 in words is "four hundred trillion, five hundred sixteen billion, six hundred fifty-one million, four hundred fifty-five thousand, one hundred forty-four".