1010040400000 has 384 divisors, whose sum is σ = 2652850206720. Its totient is φ = 382272000000.

The previous prime is 1010040399989. The next prime is 1010040400051. The reversal of 1010040400000 is 40400101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1010040400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929199457 + ... + 929200543.

It is an arithmetic number, because the mean of its divisors is an integer number (6908464080).

Almost surely, 2^{1010040400000} is an apocalyptic number.

1010040400000 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 1010040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326425103360).

1010040400000 is an abundant number, since it is smaller than the sum of its proper divisors (1642809806720).

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

1010040400000 is an equidigital number, since it uses as much as digits as its factorization.

1010040400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1010040400000 its reverse (40400101), we get a palindrome (1010080800101).

The spelling of 1010040400000 in words is "one trillion, ten billion, forty million, four hundred thousand".