40348959840000 has 1080 divisors, whose sum is σ = 173444916672720. Its totient is φ = 9222571008000.

The previous prime is 40348959839983. The next prime is 40348959840029. The reversal of 40348959840000 is 4895984304.

40348959840000 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 8 + 9 + 598 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 211584694 + ... + 211775306.

Almost surely, 2^{40348959840000} is an apocalyptic number.

40348959840000 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 40348959840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86722458336360).

40348959840000 is an abundant number, since it is smaller than the sum of its proper divisors (133095956832720).

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

40348959840000 is an equidigital number, since it uses as much as digits as its factorization.

40348959840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190672 (or 190630 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40348959840000 in words is "forty trillion, three hundred forty-eight billion, nine hundred fifty-nine million, eight hundred forty thousand".