1413742000 has 160 divisors (see below), whose sum is σ = 3760473600. Its totient is φ = 509792000.

The previous prime is 1413741977. The next prime is 1413742021. The reversal of 1413742000 is 2473141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3937821 + ... + 3938179.

It is an arithmetic number, because the mean of its divisors is an integer number (23502960).

Almost surely, 2^1413742000 is an apocalyptic number.

1413742000 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 1413742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880236800).

1413742000 is an abundant number, since it is smaller than the sum of its proper divisors (2346731600).

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

1413742000 is a wasteful number, since it uses less digits than its factorization.

1413742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1413742000 is about 37599.7606375360. The cubic root of 1413742000 is about 1122.3372746721.

The spelling of 1413742000 in words is "one billion, four hundred thirteen million, seven hundred forty-two thousand".