40034400000 has 432 divisors, whose sum is σ = 152268254208. Its totient is φ = 9146880000.

The previous prime is 40034399971. The next prime is 40034400031. The reversal of 40034400000 is 443004.

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

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, 16798809 + ... + 16801191.

Almost surely, 2^40034400000 is an apocalyptic number.

40034400000 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 40034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134127104).

40034400000 is an abundant number, since it is smaller than the sum of its proper divisors (112233854208).

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

40034400000 is an frugal number, since it uses more digits than its factorization.

40034400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 40034400000 its reverse (443004), we get a palindrome (40034843004).

The spelling of 40034400000 in words is "forty billion, thirty-four million, four hundred thousand".