40093198992 has 960 divisors, whose sum is σ = 156212224000. Its totient is φ = 9607403520.

The previous prime is 40093198967. The next prime is 40093198997. The reversal of 40093198992 is 29989139004.

40093198992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40093198997) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507508809 + ... + 507508887.

Almost surely, 2^40093198992 is an apocalyptic number.

40093198992 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 40093198992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78106112000).

40093198992 is an abundant number, since it is smaller than the sum of its proper divisors (116119025008).

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

40093198992 is a wasteful number, since it uses less digits than its factorization.

40093198992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 40093198992 in words is "forty billion, ninety-three million, one hundred ninety-eight thousand, nine hundred ninety-two".