1417920000 has 400 divisors, whose sum is σ = 5420164992. Its totient is φ = 322560000.

The previous prime is 1417919989. The next prime is 1417920019. The reversal of 1417920000 is 297141.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719895 + ... + 6720105.

Almost surely, 2^1417920000 is an apocalyptic number.

1417920000 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 1417920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710082496).

1417920000 is an abundant number, since it is smaller than the sum of its proper divisors (4002244992).

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

1417920000 is an frugal number, since it uses more digits than its factorization.

1417920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1417920000 is about 37655.2785144394. The cubic root of 1417920000 is about 1123.4417933845.

The spelling of 1417920000 in words is "one billion, four hundred seventeen million, nine hundred twenty thousand".