1034100405200 has 240 divisors, whose sum is σ = 2752675714800. Its totient is φ = 371634831360.

The previous prime is 1034100405193. The next prime is 1034100405257. The reversal of 1034100405200 is 25040014301.

It can be written as a sum of positive squares in 24 ways, for example, as 372656527936 + 661443877264 = 610456^2 + 813292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13296026 + ... + 13373574.

It is an arithmetic number, because the mean of its divisors is an integer number (11469482145).

Almost surely, 2^{1034100405200} is an apocalyptic number.

1034100405200 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 1034100405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376337857400).

1034100405200 is an abundant number, since it is smaller than the sum of its proper divisors (1718575309600).

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

1034100405200 is a wasteful number, since it uses less digits than its factorization.

1034100405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77674 (or 77663 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1034100405200 its reverse (25040014301), we get a palindrome (1059140419501).

The spelling of 1034100405200 in words is "one trillion, thirty-four billion, one hundred million, four hundred five thousand, two hundred".