40380556800000 has 1248 divisors, whose sum is σ = 140115492909504. Its totient is φ = 10333716480000.

The previous prime is 40380556799909. The next prime is 40380556800011. The reversal of 40380556800000 is 865508304.

It is a happy number.

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, 137817599854 + ... + 137817600146.

Almost surely, 2^{40380556800000} is an apocalyptic number.

40380556800000 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 40380556800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70057746454752).

40380556800000 is an abundant number, since it is smaller than the sum of its proper divisors (99734936109504).

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

40380556800000 is an frugal number, since it uses more digits than its factorization.

40380556800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 40380556800000 in words is "forty trillion, three hundred eighty billion, five hundred fifty-six million, eight hundred thousand".