40245301670400 has 720 divisors, whose sum is σ = 150965018620416. Its totient is φ = 10219284725760.

The previous prime is 40245301670389. The next prime is 40245301670443. The reversal of 40245301670400 is 407610354204.

40245301670400 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 530 + 16 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590826744 + ... + 590894856.

Almost surely, 2^{40245301670400} is an apocalyptic number.

40245301670400 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 40245301670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482509310208).

40245301670400 is an abundant number, since it is smaller than the sum of its proper divisors (110719716950016).

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

40245301670400 is a wasteful number, since it uses less digits than its factorization.

40245301670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68393 (or 68369 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40245301670400 in words is "forty trillion, two hundred forty-five billion, three hundred one million, six hundred seventy thousand, four hundred".