40992245760 has 192 divisors, whose sum is σ = 131738443200. Its totient is φ = 10881662976.

The previous prime is 40992245743. The next prime is 40992245771. The reversal of 40992245760 is 6754229904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7031967 + ... + 7037793.

It is an arithmetic number, because the mean of its divisors is an integer number (686137725).

Almost surely, 2^40992245760 is an apocalyptic number.

40992245760 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 40992245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65869221600).

40992245760 is an abundant number, since it is smaller than the sum of its proper divisors (90746197440).

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

40992245760 is a wasteful number, since it uses less digits than its factorization.

40992245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 40992245760 in words is "forty billion, nine hundred ninety-two million, two hundred forty-five thousand, seven hundred sixty".