10267097400 has 432 divisors, whose sum is σ = 40810278600. Its totient is φ = 2305820160.

The previous prime is 10267097387. The next prime is 10267097417. The reversal of 10267097400 is 479076201.

It is a happy number.

10267097400 is a `hidden beast` number, since 102 + 67 + 0 + 97 + 400 = 666.

It is a super-4 number, since 4×10267097400⁴ (a number of 41 digits) contains 4444 as substring.

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 107 ways as a sum of consecutive naturals, for example, 5202814 + ... + 5204786.

Almost surely, 2^10267097400 is an apocalyptic number.

10267097400 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 10267097400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405139300).

10267097400 is an abundant number, since it is smaller than the sum of its proper divisors (30543181200).

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

10267097400 is a wasteful number, since it uses less digits than its factorization.

10267097400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10267097400 in words is "ten billion, two hundred sixty-seven million, ninety-seven thousand, four hundred".