40084270464 has 192 divisors, whose sum is σ = 129243824640. Its totient is φ = 10954589184.

The previous prime is 40084270463. The next prime is 40084270481. The reversal of 40084270464 is 46407248004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40084270464² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084270463) 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, 386457 + ... + 479079.

It is an arithmetic number, because the mean of its divisors is an integer number (673144920).

Almost surely, 2^40084270464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40084270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64621912320).

40084270464 is an abundant number, since it is smaller than the sum of its proper divisors (89159554176).

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

40084270464 is a wasteful number, since it uses less digits than its factorization.

40084270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92677 (or 92658 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 40084270464 in words is "forty billion, eighty-four million, two hundred seventy thousand, four hundred sixty-four".