40195090606080 has 192 divisors, whose sum is σ = 128631478248000. Its totient is φ = 10715474165760.

The previous prime is 40195090606003. The next prime is 40195090606117. The reversal of 40195090606080 is 8060609059104.

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, 103055271 + ... + 103444569.

It is an arithmetic number, because the mean of its divisors is an integer number (669955615875).

Almost surely, 2^{40195090606080} is an apocalyptic number.

40195090606080 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 40195090606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64315739124000).

40195090606080 is an abundant number, since it is smaller than the sum of its proper divisors (88436387641920).

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

40195090606080 is a wasteful number, since it uses less digits than its factorization.

40195090606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392690 (or 392670 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 40195090606080 in words is "forty trillion, one hundred ninety-five billion, ninety million, six hundred six thousand, eighty".