2401272556816 has 45 divisors (see below), whose sum is σ = 5412149588631. Its totient is φ = 1029098214816.

The previous prime is 2401272556747. The next prime is 2401272556849. The reversal of 2401272556816 is 6186552721042.

The square root of 2401272556816 is 1549604.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2401272556816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2401272556816.

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 8 ways as a sum of consecutive naturals, for example, 43361241 + ... + 43416583.

Almost surely, 2^{2401272556816} is an apocalyptic number.

2401272556816 is the 1549604-th square number.

It is an amenable number.

2401272556816 is an abundant number, since it is smaller than the sum of its proper divisors (3010877031815).

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

2401272556816 is an frugal number, since it uses more digits than its factorization.

2401272556816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110708 (or 55352 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 2401272556816 by its sum of digits (49), we get a square (117662355283984 = 10847228²).

2401272556816 divided by its sum of digits (49) gives a square (49005562384 = 221372²).

The spelling of 2401272556816 in words is "two trillion, four hundred one billion, two hundred seventy-two million, five hundred fifty-six thousand, eight hundred sixteen".