40196391907200 has 768 divisors, whose sum is σ = 142149704336640. Its totient is φ = 9947588198400.

The previous prime is 40196391907171. The next prime is 40196391907277. The reversal of 40196391907200 is 270919369104.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7734535002 + ... + 7734540198.

It is an arithmetic number, because the mean of its divisors is an integer number (185090760855).

Almost surely, 2^{40196391907200} is an apocalyptic number.

40196391907200 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 40196391907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71074852168320).

40196391907200 is an abundant number, since it is smaller than the sum of its proper divisors (101953312429440).

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

40196391907200 is a wasteful number, since it uses less digits than its factorization.

40196391907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 40196391907200 in words is "forty trillion, one hundred ninety-six billion, three hundred ninety-one million, nine hundred seven thousand, two hundred".