1528078241040 has 480 divisors, whose sum is σ = 5364734135040. Its totient is φ = 357415317504.

The previous prime is 1528078241029. The next prime is 1528078241059. The reversal of 1528078241040 is 401428708251.

It is a super-2 number, since 2×1528078241040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1528078240983 and 1528078241001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213444981 + ... + 213452139.

It is an arithmetic number, because the mean of its divisors is an integer number (11176529448).

Almost surely, 2^{1528078241040} is an apocalyptic number.

1528078241040 is a gapful number since it is divisible by the number (10) 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 1528078241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682367067520).

1528078241040 is an abundant number, since it is smaller than the sum of its proper divisors (3836655894000).

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

1528078241040 is a wasteful number, since it uses less digits than its factorization.

1528078241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 1528078241040 in words is "one trillion, five hundred twenty-eight billion, seventy-eight million, two hundred forty-one thousand, forty".