465036042240 has 1792 divisors, whose sum is σ = 2125879050240. Its totient is φ = 93640458240.

The previous prime is 465036042221. The next prime is 465036042269. The reversal of 465036042240 is 42240630564.

465036042240 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 3 + 604 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 465036042195 and 465036042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3661701057 + ... + 3661701183.

Almost surely, 2^465036042240 is an apocalyptic number.

465036042240 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 465036042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062939525120).

465036042240 is an abundant number, since it is smaller than the sum of its proper divisors (1660843008000).

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

465036042240 is a wasteful number, since it uses less digits than its factorization.

465036042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 465036042240 in words is "four hundred sixty-five billion, thirty-six million, forty-two thousand, two hundred forty".