40421504601 has 45 divisors (see below), whose sum is σ = 61313093743. Its totient is φ = 26538732000.

The previous prime is 40421504587. The next prime is 40421504659. The reversal of 40421504601 is 10640512404.

The square root of 40421504601 is 201051.

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

40421504601 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 1 + 50 + 4 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7761786201 + 32659718400 = 88101^2 + 180720^2 .

It is not a de Polignac number, because 40421504601 - 2¹¹ = 40421502553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40421508601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 161041726 + ... + 161041976.

Almost surely, 2^40421504601 is an apocalyptic number.

40421504601 is the 201051-st square number.

40421504601 is the 100526-th centered octagonal number.

It is an amenable number.

40421504601 is a deficient number, since it is larger than the sum of its proper divisors (20891589142).

40421504601 is an frugal number, since it uses more digits than its factorization.

40421504601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40421504601 in words is "forty billion, four hundred twenty-one million, five hundred four thousand, six hundred one".