40464121152000 has 2560 divisors, whose sum is σ = 173409577076736. Its totient is φ = 8143110144000.

The previous prime is 40464121151999. The next prime is 40464121152011. The reversal of 40464121152000 is 25112146404.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34262591410 + ... + 34262592590.

Almost surely, 2^{40464121152000} is an apocalyptic number.

40464121152000 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 40464121152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704788538368).

40464121152000 is an abundant number, since it is smaller than the sum of its proper divisors (132945455924736).

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

40464121152000 is a wasteful number, since it uses less digits than its factorization.

40464121152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 40464121152000 its reverse (25112146404), we get a palindrome (40489233298404).

The spelling of 40464121152000 in words is "forty trillion, four hundred sixty-four billion, one hundred twenty-one million, one hundred fifty-two thousand".