1406599947720 has 256 divisors, whose sum is σ = 5201604864000. Its totient is φ = 335214201600.

The previous prime is 1406599947719. The next prime is 1406599947721. The reversal of 1406599947720 is 277499956041.

1406599947720 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 59 + 99 + 477 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1406599947719) and next prime (1406599947721).

It is not an unprimeable number, because it can be changed into a prime (1406599947721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302476 + ... + 1704315.

It is an arithmetic number, because the mean of its divisors is an integer number (20318769000).

Almost surely, 2^{1406599947720} is an apocalyptic number.

1406599947720 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 1406599947720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600802432000).

1406599947720 is an abundant number, since it is smaller than the sum of its proper divisors (3795004916280).

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

1406599947720 is a wasteful number, since it uses less digits than its factorization.

1406599947720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006881 (or 2006871 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 1406599947720 in words is "one trillion, four hundred six billion, five hundred ninety-nine million, nine hundred forty-seven thousand, seven hundred twenty".