10040412413400 has 384 divisors, whose sum is σ = 33914972160000. Its totient is φ = 2447833305600.

The previous prime is 10040412413399. The next prime is 10040412413417. The reversal of 10040412413400 is 431421404001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126831031 + ... + 126910169.

It is an arithmetic number, because the mean of its divisors is an integer number (88320240000).

Almost surely, 2^{10040412413400} is an apocalyptic number.

10040412413400 is a gapful number since it is divisible by the number (10) 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 10040412413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957486080000).

10040412413400 is an abundant number, since it is smaller than the sum of its proper divisors (23874559746600).

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

10040412413400 is a wasteful number, since it uses less digits than its factorization.

10040412413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79567 (or 79558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10040412413400 its reverse (431421404001), we get a palindrome (10471833817401).

The spelling of 10040412413400 in words is "ten trillion, forty billion, four hundred twelve million, four hundred thirteen thousand, four hundred".