1013246123400 has 480 divisors, whose sum is σ = 4033255248000. Its totient is φ = 230944711680.

The previous prime is 1013246123399. The next prime is 1013246123429. The reversal of 1013246123400 is 43216423101.

It is a happy number.

1013246123400 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 4 + 612 + 3 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40698156 + ... + 40723044.

It is an arithmetic number, because the mean of its divisors is an integer number (8402615100).

Almost surely, 2^{1013246123400} is an apocalyptic number.

1013246123400 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 1013246123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016627624000).

1013246123400 is an abundant number, since it is smaller than the sum of its proper divisors (3020009124600).

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

1013246123400 is a wasteful number, since it uses less digits than its factorization.

1013246123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25283 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1013246123400 in words is "one trillion, thirteen billion, two hundred forty-six million, one hundred twenty-three thousand, four hundred".