4234101401000 has 128 divisors (see below), whose sum is σ = 10318899951360. Its totient is φ = 1624656096000.

The previous prime is 4234101400999. The next prime is 4234101401041. The reversal of 4234101401000 is 1041014324.

It is a super-2 number, since 2×4234101401000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1821119 + ... + 3432881.

It is an arithmetic number, because the mean of its divisors is an integer number (80616405870).

Almost surely, 2^{4234101401000} is an apocalyptic number.

4234101401000 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 4234101401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159449975680).

4234101401000 is an abundant number, since it is smaller than the sum of its proper divisors (6084798550360).

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

4234101401000 is a wasteful number, since it uses less digits than its factorization.

4234101401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611892 (or 1611878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4234101401000 its reverse (1041014324), we get a palindrome (4235142415324).

The spelling of 4234101401000 in words is "four trillion, two hundred thirty-four billion, one hundred one million, four hundred one thousand".