40761600 has 216 divisors, whose sum is σ = 147511392. Its totient is φ = 9830400.

The previous prime is 40761587. The next prime is 40761601. The reversal of 40761600 is 616704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40761601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211104 + ... + 211296.

Almost surely, 2^40761600 is an apocalyptic number.

40761600 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 40761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73755696).

40761600 is an abundant number, since it is smaller than the sum of its proper divisors (106749792).

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

40761600 is a wasteful number, since it uses less digits than its factorization.

40761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 40761600 is about 6384.4811848732. The cubic root of 40761600 is about 344.1520870680.

Subtracting from 40761600 its reverse (616704), we obtain a square (40144896 = 6336²).

The spelling of 40761600 in words is "forty million, seven hundred sixty-one thousand, six hundred".