40701661972920 has 512 divisors, whose sum is σ = 150597996595200. Its totient is φ = 9714424172544.

The previous prime is 40701661972903. The next prime is 40701661972943. The reversal of 40701661972920 is 2927916610704.

40701661972920 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 16 + 619 + 7 + 2 + 9 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82463589 + ... + 82955691.

It is an arithmetic number, because the mean of its divisors is an integer number (294136712100).

Almost surely, 2^{40701661972920} is an apocalyptic number.

40701661972920 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 40701661972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75298998297600).

40701661972920 is an abundant number, since it is smaller than the sum of its proper divisors (109896334622280).

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

40701661972920 is a wasteful number, since it uses less digits than its factorization.

40701661972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492316 (or 492306 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 40701661972920 in words is "forty trillion, seven hundred one billion, six hundred sixty-one million, nine hundred seventy-two thousand, nine hundred twenty".