40730840409600 has 2880 divisors, whose sum is σ = 175934509470720. Its totient is φ = 9222841958400.

The previous prime is 40730840409557. The next prime is 40730840409631. The reversal of 40730840409600 is 690404803704.

40730840409600 is a `hidden beast` number, since 4 + 0 + 7 + 30 + 8 + 4 + 0 + 4 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 139013107054 + ... + 139013107346.

It is an arithmetic number, because the mean of its divisors is an integer number (61088371344).

Almost surely, 2^{40730840409600} is an apocalyptic number.

40730840409600 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 40730840409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87967254735360).

40730840409600 is an abundant number, since it is smaller than the sum of its proper divisors (135203669061120).

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

40730840409600 is a wasteful number, since it uses less digits than its factorization.

40730840409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40730840409600 in words is "forty trillion, seven hundred thirty billion, eight hundred forty million, four hundred nine thousand, six hundred".