40292743680 has 960 divisors, whose sum is σ = 174448834560. Its totient is φ = 8707129344.

The previous prime is 40292743679. The next prime is 40292743717. The reversal of 40292743680 is 8634729204.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736397 + ... + 82736883.

It is an arithmetic number, because the mean of its divisors is an integer number (181717536).

Almost surely, 2^40292743680 is an apocalyptic number.

40292743680 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 40292743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87224417280).

40292743680 is an abundant number, since it is smaller than the sum of its proper divisors (134156090880).

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

40292743680 is an equidigital number, since it uses as much as digits as its factorization.

40292743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40292743680 in words is "forty billion, two hundred ninety-two million, seven hundred forty-three thousand, six hundred eighty".