401542938720 has 1152 divisors, whose sum is σ = 1876710850560. Its totient is φ = 75600138240.

The previous prime is 401542938703. The next prime is 401542938781. The reversal of 401542938720 is 27839245104.

401542938720 is a `hidden beast` number, since 4 + 0 + 1 + 542 + 9 + 3 + 87 + 20 = 666.

It is a super-2 number, since 2×401542938720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48450417 + ... + 48458703.

It is an arithmetic number, because the mean of its divisors is an integer number (1629089280).

Almost surely, 2^401542938720 is an apocalyptic number.

401542938720 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 401542938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938355425280).

401542938720 is an abundant number, since it is smaller than the sum of its proper divisors (1475167911840).

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

401542938720 is a wasteful number, since it uses less digits than its factorization.

401542938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 401542938720 in words is "four hundred one billion, five hundred forty-two million, nine hundred thirty-eight thousand, seven hundred twenty".