1411605372100 has 243 divisors, whose sum is σ = 3919219929261. Its totient is φ = 439695748800.

The previous prime is 1411605372041. The next prime is 1411605372101. The reversal of 1411605372100 is 12735061141.

The square root of 1411605372100 is 1188110.

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

It can be written as a sum of positive squares in only one way, i.e., 508177933956 + 903427438144 = 712866^2 + 950488^2 .

It is not an unprimeable number, because it can be changed into a prime (1411605372101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 914843929 + ... + 914845471.

Almost surely, 2^{1411605372100} is an apocalyptic number.

1411605372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1411605372100 is the 1188110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411605372100

1411605372100 is an abundant number, since it is smaller than the sum of its proper divisors (2507614557161).

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

1411605372100 is a wasteful number, since it uses less digits than its factorization.

1411605372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1411605372100 in words is "one trillion, four hundred eleven billion, six hundred five million, three hundred seventy-two thousand, one hundred".