400028767145280 has 5040 divisors, whose sum is σ = 1876122637424640. Its totient is φ = 80539154841600.

The previous prime is 400028767145261. The next prime is 400028767145317. The reversal of 400028767145280 is 82541767820004.

400028767145280 is a `hidden beast` number, since 40 + 0 + 0 + 2 + 8 + 7 + 6 + 71 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 525661980100 + ... + 525661980860.

Almost surely, 2^{400028767145280} is an apocalyptic number.

400028767145280 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 400028767145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938061318712320).

400028767145280 is an abundant number, since it is smaller than the sum of its proper divisors (1476093870279360).

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

400028767145280 is a wasteful number, since it uses less digits than its factorization.

400028767145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 400028767145280 in words is "four hundred trillion, twenty-eight billion, seven hundred sixty-seven million, one hundred forty-five thousand, two hundred eighty".