40041086400 has 1680 divisors, whose sum is σ = 186587343360. Its totient is φ = 8211456000.

The previous prime is 40041086387. The next prime is 40041086411. The reversal of 40041086400 is 468014004.

40041086400 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 10 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 396446350 + ... + 396446450.

Almost surely, 2^40041086400 is an apocalyptic number.

40041086400 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 40041086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93293671680).

40041086400 is an abundant number, since it is smaller than the sum of its proper divisors (146546256960).

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

40041086400 is a wasteful number, since it uses less digits than its factorization.

40041086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40041086400 in words is "forty billion, forty-one million, eighty-six thousand, four hundred".