40164696149760 has 4608 divisors, whose sum is σ = 193644078243840. Its totient is φ = 7644119040000.

The previous prime is 40164696149749. The next prime is 40164696149807. The reversal of 40164696149760 is 6794169646104.

40164696149760 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 4 + 6 + 9 + 614 + 9 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×40164696149760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 160018709635 + ... + 160018709885.

It is an arithmetic number, because the mean of its divisors is an integer number (42023454480).

Almost surely, 2^{40164696149760} is an apocalyptic number.

40164696149760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40164696149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96822039121920).

40164696149760 is an abundant number, since it is smaller than the sum of its proper divisors (153479382094080).

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

40164696149760 is a wasteful number, since it uses less digits than its factorization.

40164696149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 40164696149760 in words is "forty trillion, one hundred sixty-four billion, six hundred ninety-six million, one hundred forty-nine thousand, seven hundred sixty".