40135828344021 has 48 divisors (see below), whose sum is σ = 58346913761136. Its totient is φ = 26585709815808.

The previous prime is 40135828343959. The next prime is 40135828344067. The reversal of 40135828344021 is 12044382853104.

40135828344021 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 582 + 8 + 3 + 4 + 40 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13560143408100 + 26575684935921 = 3682410^2 + 5155161^2 .

It is not a de Polignac number, because 40135828344021 - 2¹⁵ = 40135828311253 is a prime.

It is a super-2 number, since 2×40135828344021² (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 (40135828394021) 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, 2442383821 + ... + 2442400253.

It is an arithmetic number, because the mean of its divisors is an integer number (1215560703357).

Almost surely, 2^{40135828344021} is an apocalyptic number.

It is an amenable number.

40135828344021 is a deficient number, since it is larger than the sum of its proper divisors (18211085417115).

40135828344021 is a wasteful number, since it uses less digits than its factorization.

40135828344021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19462 (or 19459 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40135828344021 in words is "forty trillion, one hundred thirty-five billion, eight hundred twenty-eight million, three hundred forty-four thousand, twenty-one".