240413001000 has 256 divisors, whose sum is σ = 757174728960. Its totient is φ = 63507225600.

The previous prime is 240413000981. The next prime is 240413001011. The reversal of 240413001000 is 100314042.

It is a super-2 number, since 2×240413001000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 219956454 + ... + 219957546.

It is an arithmetic number, because the mean of its divisors is an integer number (2957713785).

Almost surely, 2^240413001000 is an apocalyptic number.

240413001000 is a gapful number since it is divisible by the number (20) 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 240413001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378587364480).

240413001000 is an abundant number, since it is smaller than the sum of its proper divisors (516761727960).

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

240413001000 is a wasteful number, since it uses less digits than its factorization.

240413001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 240413001000 its reverse (100314042), we get a palindrome (240513315042).

The spelling of 240413001000 in words is "two hundred forty billion, four hundred thirteen million, one thousand".