1407144690 has 128 divisors (see below), whose sum is σ = 4361472000. Its totient is φ = 316156608.

The previous prime is 1407144679. The next prime is 1407144701. The reversal of 1407144690 is 964417041.

1407144690 is a `hidden beast` number, since 140 + 71 + 446 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1407144679) and next prime (1407144701).

It is a super-2 number, since 2×1407144690² = 3960112357190392200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105201 + ... + 117819.

It is an arithmetic number, because the mean of its divisors is an integer number (34074000).

Almost surely, 2^1407144690 is an apocalyptic number.

1407144690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407144690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180736000).

1407144690 is an abundant number, since it is smaller than the sum of its proper divisors (2954327310).

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

1407144690 is a wasteful number, since it uses less digits than its factorization.

1407144690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1407144690 is about 37511.9273031925. The cubic root of 1407144690 is about 1120.5887343730.

The spelling of 1407144690 in words is "one billion, four hundred seven million, one hundred forty-four thousand, six hundred ninety".