1406249374320 has 640 divisors, whose sum is σ = 5577200179200. Its totient is φ = 319029829632.

The previous prime is 1406249374273. The next prime is 1406249374337. The reversal of 1406249374320 is 234739426041.

1406249374320 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 249 + 374 + 32 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1983426126 + ... + 1983426834.

It is an arithmetic number, because the mean of its divisors is an integer number (8714375280).

Almost surely, 2^{1406249374320} is an apocalyptic number.

1406249374320 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 1406249374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788600089600).

1406249374320 is an abundant number, since it is smaller than the sum of its proper divisors (4170950804880).

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

1406249374320 is a wasteful number, since it uses less digits than its factorization.

1406249374320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1406249374320 in words is "one trillion, four hundred six billion, two hundred forty-nine million, three hundred seventy-four thousand, three hundred twenty".