40988344992 has 96 divisors (see below), whose sum is σ = 123139900800. Its totient is φ = 11694302208.

The previous prime is 40988344979. The next prime is 40988344993. The reversal of 40988344992 is 29944388904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40988344992² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40988344993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433434 + ... + 519462.

It is an arithmetic number, because the mean of its divisors is an integer number (1282707300).

Almost surely, 2^40988344992 is an apocalyptic number.

40988344992 is a gapful number since it is divisible by the number (42) 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 40988344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61569950400).

40988344992 is an abundant number, since it is smaller than the sum of its proper divisors (82151555808).

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

40988344992 is a wasteful number, since it uses less digits than its factorization.

40988344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86758 (or 86750 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 40988344992 in words is "forty billion, nine hundred eighty-eight million, three hundred forty-four thousand, nine hundred ninety-two".