40242101400 has 192 divisors, whose sum is σ = 138849223200. Its totient is φ = 10712839680.

The previous prime is 40242101387. The next prime is 40242101413. The reversal of 40242101400 is 410124204.

It is an interprime number because it is at equal distance from previous prime (40242101387) and next prime (40242101413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3304122 + ... + 3316278.

Almost surely, 2^40242101400 is an apocalyptic number.

40242101400 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 40242101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424611600).

40242101400 is an abundant number, since it is smaller than the sum of its proper divisors (98607121800).

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

40242101400 is a wasteful number, since it uses less digits than its factorization.

40242101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12795 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40242101400 its reverse (410124204), we get a palindrome (40652225604).

The spelling of 40242101400 in words is "forty billion, two hundred forty-two million, one hundred one thousand, four hundred".