1406090710080 has 672 divisors, whose sum is σ = 5895324654336. Its totient is φ = 300268781568.

The previous prime is 1406090710049. The next prime is 1406090710111. The reversal of 1406090710080 is 800170906041.

1406090710080 is a `hidden beast` number, since 1 + 40 + 609 + 0 + 7 + 1 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1406090710049) and next prime (1406090710111).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1406090710080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46937667 + ... + 46967613.

Almost surely, 2^{1406090710080} is an apocalyptic number.

1406090710080 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 1406090710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947662327168).

1406090710080 is an abundant number, since it is smaller than the sum of its proper divisors (4489233944256).

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

1406090710080 is a wasteful number, since it uses less digits than its factorization.

1406090710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30131 (or 30118 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1406090710080 in words is "one trillion, four hundred six billion, ninety million, seven hundred ten thousand, eighty".