40145461664 has 144 divisors (see below), whose sum is σ = 100434007296. Its totient is φ = 15619968000.

The previous prime is 40145461651. The next prime is 40145461729. The reversal of 40145461664 is 46616454104.

It is a super-2 number, since 2×40145461664² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20575889 + ... + 20577839.

It is an arithmetic number, because the mean of its divisors is an integer number (697458384).

Almost surely, 2^40145461664 is an apocalyptic number.

40145461664 is a gapful number since it is divisible by the number (44) 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 40145461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50217003648).

40145461664 is an abundant number, since it is smaller than the sum of its proper divisors (60288545632).

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

40145461664 is a wasteful number, since it uses less digits than its factorization.

40145461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 40145461664 in words is "forty billion, one hundred forty-five million, four hundred sixty-one thousand, six hundred sixty-four".