40761900 has 144 divisors (see below), whose sum is σ = 135546880. Its totient is φ = 10497600.

The previous prime is 40761863. The next prime is 40761943. The reversal of 40761900 is 916704.

40761900 is a `hidden beast` number, since 40 + 7 + 619 + 0 + 0 = 666.

It is a super-2 number, since 2×40761900² = 3323064983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83457 + ... + 83943.

Almost surely, 2^40761900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40761900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67773440).

40761900 is an abundant number, since it is smaller than the sum of its proper divisors (94784980).

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

40761900 is a wasteful number, since it uses less digits than its factorization.

40761900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40761900 is about 6384.5046792997. The cubic root of 40761900 is about 344.1529313706.

The spelling of 40761900 in words is "forty million, seven hundred sixty-one thousand, nine hundred".