417367942992 has 1440 divisors, whose sum is σ = 1703878944768. Its totient is φ = 91922688000.

The previous prime is 417367942931. The next prime is 417367943009. The reversal of 417367942992 is 299249763714.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3186014767 + ... + 3186014897.

Almost surely, 2^417367942992 is an apocalyptic number.

417367942992 is a gapful number since it is divisible by the number (42) 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 417367942992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851939472384).

417367942992 is an abundant number, since it is smaller than the sum of its proper divisors (1286511001776).

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

417367942992 is a wasteful number, since it uses less digits than its factorization.

417367942992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 221 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 417367942992 in words is "four hundred seventeen billion, three hundred sixty-seven million, nine hundred forty-two thousand, nine hundred ninety-two".