10027046400 has 540 divisors, whose sum is σ = 39066737292. Its totient is φ = 2260500480.

The previous prime is 10027046347. The next prime is 10027046429. The reversal of 10027046400 is 464072001.

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 53 ways as a sum of consecutive naturals, for example, 137356764 + ... + 137356836.

Almost surely, 2^10027046400 is an apocalyptic number.

10027046400 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 10027046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533368646).

10027046400 is an abundant number, since it is smaller than the sum of its proper divisors (29039690892).

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

10027046400 is an frugal number, since it uses more digits than its factorization.

10027046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Multiplying 10027046400 by its sum of digits (24), we get a square (240649113600 = 490560²).

10027046400 divided by its sum of digits (24) gives a square (417793600 = 20440²).

The spelling of 10027046400 in words is "ten billion, twenty-seven million, forty-six thousand, four hundred".