1034213730000 has 400 divisors, whose sum is σ = 3677568001536. Its totient is φ = 248276160000.

The previous prime is 1034213729951. The next prime is 1034213730031. The reversal of 1034213730000 is 373124301.

1034213730000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33974787 + ... + 34005213.

Almost surely, 2^{1034213730000} is an apocalyptic number.

1034213730000 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 1034213730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838784000768).

1034213730000 is an abundant number, since it is smaller than the sum of its proper divisors (2643354271536).

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

1034213730000 is a wasteful number, since it uses less digits than its factorization.

1034213730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30572 (or 30551 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 1034213730000 its reverse (373124301), we get a palindrome (1034586854301).

The spelling of 1034213730000 in words is "one trillion, thirty-four billion, two hundred thirteen million, seven hundred thirty thousand".