1505049224406 has 384 divisors, whose sum is σ = 4211543185920. Its totient is φ = 353193136128.

The previous prime is 1505049224401. The next prime is 1505049224431. The reversal of 1505049224406 is 6044229405051.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505049224401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 806131485 + ... + 806133351.

It is an arithmetic number, because the mean of its divisors is an integer number (10967560380).

Almost surely, 2^{1505049224406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505049224406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105771592960).

1505049224406 is an abundant number, since it is smaller than the sum of its proper divisors (2706493961514).

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

1505049224406 is a wasteful number, since it uses less digits than its factorization.

1505049224406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1505049224406 in words is "one trillion, five hundred five billion, forty-nine million, two hundred twenty-four thousand, four hundred six".