40130201023000 has 256 divisors, whose sum is σ = 103504235028480. Its totient is φ = 14441544000000.

The previous prime is 40130201022983. The next prime is 40130201023039. The reversal of 40130201023000 is 32010203104.

It is a happy number.

It is a super-2 number, since 2×40130201023000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 2780825785 + ... + 2780840215.

It is an arithmetic number, because the mean of its divisors is an integer number (404313418080).

Almost surely, 2^{40130201023000} is an apocalyptic number.

40130201023000 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 40130201023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51752117514240).

40130201023000 is an abundant number, since it is smaller than the sum of its proper divisors (63374034005480).

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

40130201023000 is a wasteful number, since it uses less digits than its factorization.

40130201023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17067 (or 17053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40130201023000 its reverse (32010203104), we get a palindrome (40162211226104).

The spelling of 40130201023000 in words is "forty trillion, one hundred thirty billion, two hundred one million, twenty-three thousand".