107293364821440 has 1680 divisors, whose sum is σ = 468493335604800. Its totient is φ = 23193793953792.

The previous prime is 107293364821411. The next prime is 107293364821459. The reversal of 107293364821440 is 44128463392701.

107293364821440 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 93 + 36 + 4 + 82 + 1 + 440 = 666.

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

It is a super-2 number, since 2×107293364821440² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2599833126 + ... + 2599874394.

Almost surely, 2^{107293364821440} is an apocalyptic number.

107293364821440 is a gapful number since it is divisible by the number (10) 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 107293364821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234246667802400).

107293364821440 is an abundant number, since it is smaller than the sum of its proper divisors (361199970783360).

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

107293364821440 is a wasteful number, since it uses less digits than its factorization.

107293364821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41424 (or 41398 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 107293364821440 in words is "one hundred seven trillion, two hundred ninety-three billion, three hundred sixty-four million, eight hundred twenty-one thousand, four hundred forty".