10219000416030 has 256 divisors, whose sum is σ = 31246150256640. Its totient is φ = 2328094918656.

The previous prime is 10219000416029. The next prime is 10219000416047. The reversal of 10219000416030 is 3061400091201.

10219000416030 is a `hidden beast` number, since 1 + 0 + 2 + 19 + 0 + 0 + 0 + 41 + 603 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10219000415985 and 10219000416003.

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, 731855829 + ... + 731869791.

It is an arithmetic number, because the mean of its divisors is an integer number (122055274440).

Almost surely, 2^{10219000416030} is an apocalyptic number.

10219000416030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219000416030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623075128320).

10219000416030 is an abundant number, since it is smaller than the sum of its proper divisors (21027149840610).

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

10219000416030 is a wasteful number, since it uses less digits than its factorization.

10219000416030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10219000416030 in words is "ten trillion, two hundred nineteen billion, four hundred sixteen thousand, thirty".