40195108992000 has 1408 divisors, whose sum is σ = 146934820730880. Its totient is φ = 9712435200000.

The previous prime is 40195108991969. The next prime is 40195108992001. The reversal of 40195108992000 is 29980159104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40195108992001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21144191050 + ... + 21144192950.

Almost surely, 2^{40195108992000} is an apocalyptic number.

40195108992000 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 40195108992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73467410365440).

40195108992000 is an abundant number, since it is smaller than the sum of its proper divisors (106739711738880).

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

40195108992000 is a wasteful number, since it uses less digits than its factorization.

40195108992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 40195108992000 in words is "forty trillion, one hundred ninety-five billion, one hundred eight million, nine hundred ninety-two thousand".