40412034432000 has 2816 divisors, whose sum is σ = 197193283522560. Its totient is φ = 7902461952000.

The previous prime is 40412034431987. The next prime is 40412034432059. The reversal of 40412034432000 is 23443021404.

It is a happy number.

40412034432000 is a `hidden beast` number, since 4 + 0 + 4 + 12 + 0 + 3 + 443 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4523899534 + ... + 4523908466.

Almost surely, 2^{40412034432000} is an apocalyptic number.

40412034432000 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 40412034432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98596641761280).

40412034432000 is an abundant number, since it is smaller than the sum of its proper divisors (156781249090560).

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

40412034432000 is a wasteful number, since it uses less digits than its factorization.

40412034432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40412034432000 its reverse (23443021404), we get a palindrome (40435477453404).

The spelling of 40412034432000 in words is "forty trillion, four hundred twelve billion, thirty-four million, four hundred thirty-two thousand".