40200400240 has 320 divisors, whose sum is σ = 126073930752. Its totient is φ = 11512627200.

The previous prime is 40200400217. The next prime is 40200400267. The reversal of 40200400240 is 4200400204.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 19298239 + ... + 19300321.

Almost surely, 2^40200400240 is an apocalyptic number.

40200400240 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 40200400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63036965376).

40200400240 is an abundant number, since it is smaller than the sum of its proper divisors (85873530512).

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

40200400240 is a wasteful number, since it uses less digits than its factorization.

40200400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40200400240 its reverse (4200400204), we get a palindrome (44400800444).

The spelling of 40200400240 in words is "forty billion, two hundred million, four hundred thousand, two hundred forty".