1416631402400 has 144 divisors (see below), whose sum is σ = 3577756305816. Its totient is φ = 547311697920.

The previous prime is 1416631402339. The next prime is 1416631402429. The reversal of 1416631402400 is 42041366141.

It can be written as a sum of positive squares in 12 ways, for example, as 672918339856 + 743713062544 = 820316^2 + 862388^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3880532 + ... + 4229868.

Almost surely, 2^{1416631402400} is an apocalyptic number.

1416631402400 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 1416631402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788878152908).

1416631402400 is an abundant number, since it is smaller than the sum of its proper divisors (2161124903416).

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

1416631402400 is a wasteful number, since it uses less digits than its factorization.

1416631402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349531 (or 349518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 1416631402400 its reverse (42041366141), we get a palindrome (1458672768541).

The spelling of 1416631402400 in words is "one trillion, four hundred sixteen billion, six hundred thirty-one million, four hundred two thousand, four hundred".