1431198720 has 880 divisors, whose sum is σ = 6420047040. Its totient is φ = 297271296.

The previous prime is 1431198709. The next prime is 1431198721. The reversal of 1431198720 is 278911341.

It is a happy number.

It is a super-2 number, since 2×1431198720² = 4096659552259276800, which contains 22 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 not an unprimeable number, because it can be changed into a prime (1431198721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49351666 + ... + 49351694.

It is an arithmetic number, because the mean of its divisors is an integer number (7295508).

Almost surely, 2^1431198720 is an apocalyptic number.

1431198720 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 1431198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210023520).

1431198720 is an abundant number, since it is smaller than the sum of its proper divisors (4988848320).

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

1431198720 is a wasteful number, since it uses less digits than its factorization.

1431198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

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

The square root of 1431198720 is about 37831.1871344265. The cubic root of 1431198720 is about 1126.9378866126.

The spelling of 1431198720 in words is "one billion, four hundred thirty-one million, one hundred ninety-eight thousand, seven hundred twenty".