3414660494400 has 1323 divisors, whose sum is σ = 13271794806751. Its totient is φ = 864275650560.

The previous prime is 3414660494303. The next prime is 3414660494417. The reversal of 3414660494400 is 44940664143.

The square root of 3414660494400 is 1847880.

It is a perfect power (a square), and thus also a powerful number.

3414660494400 is a `hidden beast` number, since 3 + 4 + 146 + 60 + 4 + 9 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46936355904 + 3367724138496 = 216648^2 + 1835136^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 57875601571 + ... + 57875601629.

Almost surely, 2^{3414660494400} is an apocalyptic number.

3414660494400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3414660494400 is the 1847880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414660494400

3414660494400 is an abundant number, since it is smaller than the sum of its proper divisors (9857134312351).

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

3414660494400 is an frugal number, since it uses more digits than its factorization.

3414660494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3414660494400 in words is "three trillion, four hundred fourteen billion, six hundred sixty million, four hundred ninety-four thousand, four hundred".