406874741760 has 880 divisors, whose sum is σ = 1508069049696. Its totient is φ = 104848293888.

The previous prime is 406874741723. The next prime is 406874741783. The reversal of 406874741760 is 67147478604.

406874741760 is a `hidden beast` number, since 40 + 68 + 7 + 474 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 406874741697 and 406874741706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2351877034 + ... + 2351877206.

Almost surely, 2^406874741760 is an apocalyptic number.

406874741760 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 406874741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754034524848).

406874741760 is an abundant number, since it is smaller than the sum of its proper divisors (1101194307936).

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

406874741760 is a wasteful number, since it uses less digits than its factorization.

406874741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 406874741760 in words is "four hundred six billion, eight hundred seventy-four million, seven hundred forty-one thousand, seven hundred sixty".