400272941537280 has 1536 divisors, whose sum is σ = 1638178214400000. Its totient is φ = 90814172626944.

The previous prime is 400272941537279. The next prime is 400272941537309. The reversal of 400272941537280 is 82735149272004.

400272941537280 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 7 + 29 + 4 + 1 + 537 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223741162626 + ... + 223741164414.

It is an arithmetic number, because the mean of its divisors is an integer number (1066522275000).

Almost surely, 2^{400272941537280} is an apocalyptic number.

400272941537280 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 400272941537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819089107200000).

400272941537280 is an abundant number, since it is smaller than the sum of its proper divisors (1237905272862720).

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

400272941537280 is a wasteful number, since it uses less digits than its factorization.

400272941537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 400272941537280 in words is "four hundred trillion, two hundred seventy-two billion, nine hundred forty-one million, five hundred thirty-seven thousand, two hundred eighty".