41420390400 has 459 divisors, whose sum is σ = 151228278019. Its totient is φ = 10837032960.

The previous prime is 41420390387. The next prime is 41420390413. The reversal of 41420390400 is 409302414.

The square root of 41420390400 is 203520.

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

41420390400 is a `hidden beast` number, since 414 + 203 + 9 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41420390387) and next prime (41420390413).

It can be written as a sum of positive squares in 4 ways, for example, as 312016896 + 41108373504 = 17664^2 + 202752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 781516774 + ... + 781516826.

Almost surely, 2^41420390400 is an apocalyptic number.

41420390400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41420390400 is the 203520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41420390400

41420390400 is an abundant number, since it is smaller than the sum of its proper divisors (109807887619).

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

41420390400 is an frugal number, since it uses more digits than its factorization.

41420390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41420390400 its reverse (409302414), we get a palindrome (41829692814).

The spelling of 41420390400 in words is "forty-one billion, four hundred twenty million, three hundred ninety thousand, four hundred".