420072953775 has 48 divisors (see below), whose sum is σ = 721885713024. Its totient is φ = 215357374080.

The previous prime is 420072953771. The next prime is 420072953813. The reversal of 420072953775 is 577359270024.

It is not a de Polignac number, because 420072953775 - 2² = 420072953771 is a prime.

It is a super-2 number, since 2×420072953775² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420072953771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681589 + ... + 1142238.

It is an arithmetic number, because the mean of its divisors is an integer number (15039285688).

Almost surely, 2^420072953775 is an apocalyptic number.

420072953775 is a deficient number, since it is larger than the sum of its proper divisors (301812759249).

420072953775 is a wasteful number, since it uses less digits than its factorization.

420072953775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823960 (or 1823955 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 420072953775 in words is "four hundred twenty billion, seventy-two million, nine hundred fifty-three thousand, seven hundred seventy-five".