1406985120 has 96 divisors (see below), whose sum is σ = 4924463040. Its totient is φ = 375194880.

The previous prime is 1406985109. The next prime is 1406985197. The reversal of 1406985120 is 215896041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1406985120³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158526 + ... + 167165.

It is an arithmetic number, because the mean of its divisors is an integer number (51296490).

Almost surely, 2^1406985120 is an apocalyptic number.

1406985120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406985120 is an abundant number, since it is smaller than the sum of its proper divisors (3517477920).

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

1406985120 is a wasteful number, since it uses less digits than its factorization.

1406985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325715 (or 325701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1406985120 is about 37509.8003193832. The cubic root of 1406985120 is about 1120.5463745728.

The spelling of 1406985120 in words is "one billion, four hundred six million, nine hundred eighty-five thousand, one hundred twenty".