4114462000 has 160 divisors (see below), whose sum is σ = 11229192000. Its totient is φ = 1444352000.

The previous prime is 4114461991. The next prime is 4114462003. The reversal of 4114462000 is 2644114.

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

It is not an unprimeable number, because it can be changed into a prime (4114462003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634776 + ... + 641224.

It is an arithmetic number, because the mean of its divisors is an integer number (70182450).

Almost surely, 2^4114462000 is an apocalyptic number.

4114462000 is a gapful number since it is divisible by the number (40) 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 4114462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614596000).

4114462000 is an abundant number, since it is smaller than the sum of its proper divisors (7114730000).

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

4114462000 is a wasteful number, since it uses less digits than its factorization.

4114462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4114462000 is about 64144.0722124812. The cubic root of 4114462000 is about 1602.4003035386.

The spelling of 4114462000 in words is "four billion, one hundred fourteen million, four hundred sixty-two thousand".