1416625286400 has 1296 divisors, whose sum is σ = 5812481102400. Its totient is φ = 336606658560.

The previous prime is 1416625286399. The next prime is 1416625286413. The reversal of 1416625286400 is 46825266141.

It is a happy number.

1416625286400 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 62 + 528 + 64 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 948844054 + ... + 948845546.

Almost surely, 2^{1416625286400} is an apocalyptic number.

1416625286400 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 1416625286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906240551200).

1416625286400 is an abundant number, since it is smaller than the sum of its proper divisors (4395855816000).

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

1416625286400 is a wasteful number, since it uses less digits than its factorization.

1416625286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 1416625 and 286400, that added together give a square (1703025 = 1305²).

The spelling of 1416625286400 in words is "one trillion, four hundred sixteen billion, six hundred twenty-five million, two hundred eighty-six thousand, four hundred".