40919636832000 has 288 divisors, whose sum is σ = 136348905725760. Its totient is φ = 10877032857600.

The previous prime is 40919636831981. The next prime is 40919636832007. The reversal of 40919636832000 is 23863691904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40919636832007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29367096 + ... + 30728904.

Almost surely, 2^{40919636832000} is an apocalyptic number.

40919636832000 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 40919636832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68174452862880).

40919636832000 is an abundant number, since it is smaller than the sum of its proper divisors (95429268893760).

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

40919636832000 is a wasteful number, since it uses less digits than its factorization.

40919636832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362156 (or 1362132 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 40919636832000 in words is "forty trillion, nine hundred nineteen billion, six hundred thirty-six million, eight hundred thirty-two thousand".