40785151680 has 336 divisors, whose sum is σ = 172658251584. Its totient is φ = 8605163520.

The previous prime is 40785151661. The next prime is 40785151691. The reversal of 40785151680 is 8615158704.

40785151680 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 51 + 516 + 80 = 666.

40785151680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184270 + ... + 339890.

It is an arithmetic number, because the mean of its divisors is an integer number (513863844).

Almost surely, 2^40785151680 is an apocalyptic number.

40785151680 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 40785151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329125792).

40785151680 is an abundant number, since it is smaller than the sum of its proper divisors (131873099904).

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

40785151680 is a wasteful number, since it uses less digits than its factorization.

40785151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155664 (or 155651 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 40785151680 in words is "forty billion, seven hundred eighty-five million, one hundred fifty-one thousand, six hundred eighty".