38401144624701 has 24 divisors (see below), whose sum is σ = 56093059446840. Its totient is φ = 25312437190656.

The previous prime is 38401144624681. The next prime is 38401144624741. The reversal of 38401144624701 is 10742644110483.

38401144624701 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 14 + 4 + 624 + 7 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7854852627801 + 30546291996900 = 2802651^2 + 5526870^2 .

It is not a de Polignac number, because 38401144624701 - 2¹⁷ = 38401144493629 is a prime.

It is a super-2 number, since 2×38401144624701² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401144624741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30262461 + ... + 31505853.

It is an arithmetic number, because the mean of its divisors is an integer number (2337210810285).

Almost surely, 2^{38401144624701} is an apocalyptic number.

It is an amenable number.

38401144624701 is a deficient number, since it is larger than the sum of its proper divisors (17691914822139).

38401144624701 is a wasteful number, since it uses less digits than its factorization.

38401144624701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282045 (or 1282042 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38401144624701 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, six hundred twenty-four thousand, seven hundred one".