41780640 has 192 divisors, whose sum is σ = 147837312. Its totient is φ = 9830400.

The previous prime is 41780617. The next prime is 41780671. The reversal of 41780640 is 4608714.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41780598 and 41780607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216384 + ... + 216576.

It is an arithmetic number, because the mean of its divisors is an integer number (769986).

Almost surely, 2^41780640 is an apocalyptic number.

41780640 is a gapful number since it is divisible by the number (40) 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 41780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73918656).

41780640 is an abundant number, since it is smaller than the sum of its proper divisors (106056672).

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

41780640 is a wasteful number, since it uses less digits than its factorization.

41780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 41780640 is about 6463.7945511905. The cubic root of 41780640 is about 346.9964481804.

The spelling of 41780640 in words is "forty-one million, seven hundred eighty thousand, six hundred forty".