40813060020100 has 243 divisors, whose sum is σ = 92293056292773. Its totient is φ = 15665444249280.

The previous prime is 40813060020077. The next prime is 40813060020101. The reversal of 40813060020100 is 102006031804.

The square root of 40813060020100 is 6388510.

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

It can be written as a sum of positive squares in only one way, i.e., 14692701607236 + 26120358412864 = 3833106^2 + 5110808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40813060020101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 228005921811 + ... + 228005921989.

Almost surely, 2^{40813060020100} is an apocalyptic number.

40813060020100 is the 6388510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40813060020100

40813060020100 is an abundant number, since it is smaller than the sum of its proper divisors (51479996272673).

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

40813060020100 is an equidigital number, since it uses as much as digits as its factorization.

40813060020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

40813060020100 divided by its sum of digits (25) gives a square (1632522400804 = 1277702²).

Adding to 40813060020100 its reverse (102006031804), we get a palindrome (40915066051904).

The spelling of 40813060020100 in words is "forty trillion, eight hundred thirteen billion, sixty million, twenty thousand, one hundred".