1026721938060 has 864 divisors, whose sum is σ = 4140601920000. Its totient is φ = 205185996288.

The previous prime is 1026721938037. The next prime is 1026721938097. The reversal of 1026721938060 is 608391276201.

1026721938060 is a `hidden beast` number, since 1 + 0 + 267 + 2 + 1 + 9 + 380 + 6 + 0 = 666.

It is a super-4 number, since 4×1026721938060⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1026721937997 and 1026721938015.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 198244551 + ... + 198249729.

Almost surely, 2^{1026721938060} is an apocalyptic number.

1026721938060 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 1026721938060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070300960000).

1026721938060 is an abundant number, since it is smaller than the sum of its proper divisors (3113879981940).

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

1026721938060 is a wasteful number, since it uses less digits than its factorization.

1026721938060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1026721938060 in words is "one trillion, twenty-six billion, seven hundred twenty-one million, nine hundred thirty-eight thousand, sixty".