1406235720960 has 576 divisors, whose sum is σ = 5951050076160. Its totient is φ = 307449077760.

The previous prime is 1406235720949. The next prime is 1406235720977. The reversal of 1406235720960 is 690275326041.

1406235720960 is a `hidden beast` number, since 1 + 406 + 2 + 35 + 7 + 209 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 5437795 + ... + 5690525.

It is an arithmetic number, because the mean of its divisors is an integer number (10331684160).

Almost surely, 2^{1406235720960} is an apocalyptic number.

1406235720960 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 1406235720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975525038080).

1406235720960 is an abundant number, since it is smaller than the sum of its proper divisors (4544814355200).

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

1406235720960 is a wasteful number, since it uses less digits than its factorization.

1406235720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252791 (or 252771 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1406235720960 in words is "one trillion, four hundred six billion, two hundred thirty-five million, seven hundred twenty thousand, nine hundred sixty".