41214767040 has 84 divisors (see below), whose sum is σ = 141761635704. Its totient is φ = 10990603776.

The previous prime is 41214767023. The next prime is 41214767117. The reversal of 41214767040 is 4076741214.

It is a happy number.

41214767040 is a `hidden beast` number, since 412 + 147 + 67 + 0 + 40 = 666.

41214767040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41214767040² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 41214766986 and 41214767004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7152462 + ... + 7158221.

Almost surely, 2^41214767040 is an apocalyptic number.

41214767040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214767040 is an abundant number, since it is smaller than the sum of its proper divisors (100546868664).

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

41214767040 is a wasteful number, since it uses less digits than its factorization.

41214767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310706 (or 14310693 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 41214767040 in words is "forty-one billion, two hundred fourteen million, seven hundred sixty-seven thousand, forty".