107604541440 has 816 divisors, whose sum is σ = 423990567936. Its totient is φ = 25008537600.

The previous prime is 107604541439. The next prime is 107604541483. The reversal of 107604541440 is 44145406701.

It is a happy number.

107604541440 is a `hidden beast` number, since 1 + 0 + 7 + 60 + 454 + 144 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107604541395 and 107604541404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005649867 + ... + 1005649973.

Almost surely, 2^107604541440 is an apocalyptic number.

107604541440 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 107604541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211995283968).

107604541440 is an abundant number, since it is smaller than the sum of its proper divisors (316386026496).

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

107604541440 is a wasteful number, since it uses less digits than its factorization.

107604541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 107604541440 in words is "one hundred seven billion, six hundred four million, five hundred forty-one thousand, four hundred forty".