40245146409600 has 576 divisors, whose sum is σ = 157216658114880. Its totient is φ = 9721657344000.

The previous prime is 40245146409581. The next prime is 40245146409623. The reversal of 40245146409600 is 690464154204.

40245146409600 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 514 + 6 + 40 + 96 + 0 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88794757 + ... + 89246843.

It is an arithmetic number, because the mean of its divisors is an integer number (272945587005).

Almost surely, 2^{40245146409600} is an apocalyptic number.

40245146409600 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 40245146409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78608329057440).

40245146409600 is an abundant number, since it is smaller than the sum of its proper divisors (116971511705280).

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

40245146409600 is a wasteful number, since it uses less digits than its factorization.

40245146409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452409 (or 452389 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40245146409600 in words is "forty trillion, two hundred forty-five billion, one hundred forty-six million, four hundred nine thousand, six hundred".