1613180399400 has 480 divisors, whose sum is σ = 5924688295680. Its totient is φ = 406145664000.

The previous prime is 1613180399333. The next prime is 1613180399401. The reversal of 1613180399400 is 49930813161.

1613180399400 is a `hidden beast` number, since 1 + 6 + 131 + 80 + 39 + 9 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1613180399401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20551027 + ... + 20629373.

It is an arithmetic number, because the mean of its divisors is an integer number (12343100616).

Almost surely, 2^{1613180399400} is an apocalyptic number.

1613180399400 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 1613180399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962344147840).

1613180399400 is an abundant number, since it is smaller than the sum of its proper divisors (4311507896280).

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

1613180399400 is a wasteful number, since it uses less digits than its factorization.

1613180399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78447 (or 78429 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1613180399400 in words is "one trillion, six hundred thirteen billion, one hundred eighty million, three hundred ninety-nine thousand, four hundred".