40034122400 has 216 divisors, whose sum is σ = 101683296540. Its totient is φ = 15384145920.

The previous prime is 40034122379. The next prime is 40034122411. The reversal of 40034122400 is 422143004.

It can be written as a sum of positive squares in 6 ways, for example, as 12466169104 + 27567953296 = 111652^2 + 166036^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388680749 + ... + 388680851.

Almost surely, 2^40034122400 is an apocalyptic number.

40034122400 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 40034122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50841648270).

40034122400 is an abundant number, since it is smaller than the sum of its proper divisors (61649174140).

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

40034122400 is a wasteful number, since it uses less digits than its factorization.

40034122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40034122400 its reverse (422143004), we get a palindrome (40456265404).

The spelling of 40034122400 in words is "forty billion, thirty-four million, one hundred twenty-two thousand, four hundred".