420091140 has 192 divisors, whose sum is σ = 1439907840. Its totient is φ = 89372160.

The previous prime is 420091127. The next prime is 420091171. The reversal of 420091140 is 41190024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486349 + ... + 487211.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^420091140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420091140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

420091140 is an abundant number, since it is smaller than the sum of its proper divisors (1019816700).

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

420091140 is a wasteful number, since it uses less digits than its factorization.

420091140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 420091140 is about 20496.1249996188. The cubic root of 420091140 is about 748.9414043143.

The spelling of 420091140 in words is "four hundred twenty million, ninety-one thousand, one hundred forty".