40854542310400 has 2112 divisors, whose sum is σ = 138547444896000. Its totient is φ = 11819506728960.

The previous prime is 40854542310397. The next prime is 40854542310419. The reversal of 40854542310400 is 401324545804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71800601316 + ... + 71800601884.

Almost surely, 2^{40854542310400} is an apocalyptic number.

40854542310400 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 40854542310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69273722448000).

40854542310400 is an abundant number, since it is smaller than the sum of its proper divisors (97692902585600).

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

40854542310400 is a wasteful number, since it uses less digits than its factorization.

40854542310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 40854542310400 in words is "forty trillion, eight hundred fifty-four billion, five hundred forty-two million, three hundred ten thousand, four hundred".