2026070406801 has 135 divisors (see below), whose sum is σ = 3577491278907. Its totient is φ = 1104786920160.

The previous prime is 2026070406769. The next prime is 2026070406821. The reversal of 2026070406801 is 1086040706202.

The square root of 2026070406801 is 1423401.

It is a perfect power (a square), and thus also a powerful number.

2026070406801 is a `hidden beast` number, since 2 + 0 + 2 + 607 + 0 + 40 + 6 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9613606401 + 2016456800400 = 98049^2 + 1420020^2 .

It is not a de Polignac number, because 2026070406801 - 2⁵ = 2026070406769 is a prime.

It is a super-2 number, since 2×2026070406801² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2026070406821) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4812518571 + ... + 4812518991.

Almost surely, 2^{2026070406801} is an apocalyptic number.

2026070406801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2026070406801 is the 1423401-st square number.

2026070406801 is the 711701-st centered octagonal number.

It is an amenable number.

2026070406801 is a deficient number, since it is larger than the sum of its proper divisors (1551420872106).

2026070406801 is an frugal number, since it uses more digits than its factorization.

2026070406801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 454 counting only the distinct ones).

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

Multiplying 2026070406801 by its sum of digits (36), we get a square (72938534644836 = 8540406²).

The spelling of 2026070406801 in words is "two trillion, twenty-six billion, seventy million, four hundred six thousand, eight hundred one".