40161066865920 has 4320 divisors, whose sum is σ = 196644566114304. Its totient is φ = 7614975836160.

The previous prime is 40161066865889. The next prime is 40161066865943. The reversal of 40161066865920 is 2956866016104.

40161066865920 is a `hidden beast` number, since 40 + 1 + 6 + 1 + 0 + 6 + 6 + 8 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×40161066865920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 144985800822 + ... + 144985801098.

Almost surely, 2^{40161066865920} is an apocalyptic number.

40161066865920 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 40161066865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98322283057152).

40161066865920 is an abundant number, since it is smaller than the sum of its proper divisors (156483499248384).

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

40161066865920 is a wasteful number, since it uses less digits than its factorization.

40161066865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 40161066865920 in words is "forty trillion, one hundred sixty-one billion, sixty-six million, eight hundred sixty-five thousand, nine hundred twenty".