283254200501040 has 240 divisors, whose sum is σ = 970827801035040. Its totient is φ = 73989955522560.

The previous prime is 283254200501029. The next prime is 283254200501081. The reversal of 283254200501040 is 40105002452382.

283254200501040 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 542 + 0 + 0 + 5 + 0 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 283254200500986 and 283254200501004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72214 + ... + 23801546.

It is an arithmetic number, because the mean of its divisors is an integer number (4045115837646).

Almost surely, 2^{283254200501040} is an apocalyptic number.

283254200501040 is a gapful number since it is divisible by the number (20) 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 283254200501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485413900517520).

283254200501040 is an abundant number, since it is smaller than the sum of its proper divisors (687573600534000).

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

283254200501040 is a wasteful number, since it uses less digits than its factorization.

283254200501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23729692 (or 23729683 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 283254200501040 in words is "two hundred eighty-three trillion, two hundred fifty-four billion, two hundred million, five hundred one thousand, forty".