1034401276800 has 768 divisors, whose sum is σ = 3860612280000. Its totient is φ = 270434304000.

The previous prime is 1034401276739. The next prime is 1034401276847. The reversal of 1034401276800 is 86721044301.

1034401276800 is a `hidden beast` number, since 10 + 3 + 440 + 127 + 6 + 80 + 0 = 666.

1034401276800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986082676 + ... + 986083724.

Almost surely, 2^{1034401276800} is an apocalyptic number.

1034401276800 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 1034401276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930306140000).

1034401276800 is an abundant number, since it is smaller than the sum of its proper divisors (2826211003200).

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

1034401276800 is a wasteful number, since it uses less digits than its factorization.

1034401276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1034401276800 in words is "one trillion, thirty-four billion, four hundred one million, two hundred seventy-six thousand, eight hundred".