416037427740 has 192 divisors, whose sum is σ = 1429439639040. Its totient is φ = 100857441600.

The previous prime is 416037427733. The next prime is 416037427747. The reversal of 416037427740 is 47724730614.

416037427740 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 374 + 277 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (416037427733) and next prime (416037427747).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416037427747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48795 + ... + 913485.

It is an arithmetic number, because the mean of its divisors is an integer number (7444998120).

Almost surely, 2^416037427740 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 416037427740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714719819520).

416037427740 is an abundant number, since it is smaller than the sum of its proper divisors (1013402211300).

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

416037427740 is a wasteful number, since it uses less digits than its factorization.

416037427740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864732 (or 864712 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 416037427740 in words is "four hundred sixteen billion, thirty-seven million, four hundred twenty-seven thousand, seven hundred forty".