40904078846400 has 2016 divisors, whose sum is σ = 193360081940480. Its totient is φ = 8225141760000.

The previous prime is 40904078846357. The next prime is 40904078846401. The reversal of 40904078846400 is 464887040904.

40904078846400 is a `hidden beast` number, since 4 + 0 + 90 + 4 + 0 + 78 + 84 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40904078846401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134284370 + ... + 1134320430.

Almost surely, 2^{40904078846400} is an apocalyptic number.

40904078846400 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 40904078846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96680040970240).

40904078846400 is an abundant number, since it is smaller than the sum of its proper divisors (152456003094080).

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

40904078846400 is a wasteful number, since it uses less digits than its factorization.

40904078846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36152 (or 36120 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40904078846400 in words is "forty trillion, nine hundred four billion, seventy-eight million, eight hundred forty-six thousand, four hundred".