400042916448 has 288 divisors, whose sum is σ = 1270952460288. Its totient is φ = 109734912000.

The previous prime is 400042916431. The next prime is 400042916459. The reversal of 400042916448 is 844619240004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 18508848 + ... + 18530448.

It is an arithmetic number, because the mean of its divisors is an integer number (4413029376).

Almost surely, 2^400042916448 is an apocalyptic number.

400042916448 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 400042916448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635476230144).

400042916448 is an abundant number, since it is smaller than the sum of its proper divisors (870909543840).

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

400042916448 is a wasteful number, since it uses less digits than its factorization.

400042916448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 400042916448 in words is "four hundred billion, forty-two million, nine hundred sixteen thousand, four hundred forty-eight".