1408061491200 has 3240 divisors, whose sum is σ = 6729397865190. Its totient is φ = 289839513600.

The previous prime is 1408061491189. The next prime is 1408061491201. The reversal of 1408061491200 is 21941608041.

1408061491200 is a `hidden beast` number, since 1 + 408 + 0 + 6 + 1 + 49 + 1 + 200 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 236056052736 + 1172005438464 = 485856^2 + 1082592^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-3 number, since 3×1408061491200³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1408061491201) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 34342963180 + ... + 34342963220.

Almost surely, 2^{1408061491200} is an apocalyptic number.

1408061491200 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 1408061491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364698932595).

1408061491200 is an abundant number, since it is smaller than the sum of its proper divisors (5321336373990).

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

1408061491200 is a wasteful number, since it uses less digits than its factorization.

1408061491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1408061491200 in words is "one trillion, four hundred eight billion, sixty-one million, four hundred ninety-one thousand, two hundred".