40034142400 has 168 divisors, whose sum is σ = 112723428096. Its totient is φ = 13708723200.

The previous prime is 40034142391. The next prime is 40034142439. The reversal of 40034142400 is 424143004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11545467 + ... + 11548933.

Almost surely, 2^40034142400 is an apocalyptic number.

40034142400 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 40034142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56361714048).

40034142400 is an abundant number, since it is smaller than the sum of its proper divisors (72689285696).

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

40034142400 is a wasteful number, since it uses less digits than its factorization.

40034142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40034142400 its reverse (424143004), we get a palindrome (40458285404).

The spelling of 40034142400 in words is "forty billion, thirty-four million, one hundred forty-two thousand, four hundred".