40955414400 has 576 divisors, whose sum is σ = 156531648000. Its totient is φ = 10562918400.

The previous prime is 40955414389. The next prime is 40955414419. The reversal of 40955414400 is 441455904.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24104751 + ... + 24106449.

Almost surely, 2^40955414400 is an apocalyptic number.

40955414400 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 40955414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78265824000).

40955414400 is an abundant number, since it is smaller than the sum of its proper divisors (115576233600).

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

40955414400 is a wasteful number, since it uses less digits than its factorization.

40955414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40955414400 in words is "forty billion, nine hundred fifty-five million, four hundred fourteen thousand, four hundred".