1234010400000 has 432 divisors, whose sum is σ = 4691573970048. Its totient is φ = 282055680000.

The previous prime is 1234010399933. The next prime is 1234010400017. The reversal of 1234010400000 is 40104321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16763274 + ... + 16836726.

Almost surely, 2^{1234010400000} is an apocalyptic number.

1234010400000 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 1234010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345786985024).

1234010400000 is an abundant number, since it is smaller than the sum of its proper divisors (3457563570048).

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

1234010400000 is an frugal number, since it uses more digits than its factorization.

1234010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73504 (or 73470 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1234010400000 its reverse (40104321), we get a palindrome (1234050504321).

The spelling of 1234010400000 in words is "one trillion, two hundred thirty-four billion, ten million, four hundred thousand".