74013419520000 has 3000 divisors, whose sum is σ = 304325422160760. Its totient is φ = 17836277760000.

The previous prime is 74013419519981. The next prime is 74013419520011. The reversal of 74013419520000 is 2591431047.

74013419520000 is a `hidden beast` number, since 7 + 401 + 3 + 41 + 9 + 5 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 73637817237504 + 375602282496 = 8581248^2 + 612864^2 .

It is a tau number, because it is divible by the number of its divisors (3000).

It is a super-3 number, since 3×74013419520000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 408913919910 + ... + 408913920090.

Almost surely, 2^{74013419520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74013419520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152162711080380).

74013419520000 is an abundant number, since it is smaller than the sum of its proper divisors (230312002640760).

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

74013419520000 is an equidigital number, since it uses as much as digits as its factorization.

74013419520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 74013419520000 in words is "seventy-four trillion, thirteen billion, four hundred nineteen million, five hundred twenty thousand".