1540423234350 has 576 divisors, whose sum is σ = 5565203804160. Its totient is φ = 295015219200.

The previous prime is 1540423234303. The next prime is 1540423234369. The reversal of 1540423234350 is 534323240451.

1540423234350 is a `hidden beast` number, since 1 + 5 + 40 + 4 + 232 + 34 + 350 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 346393827 + ... + 346398273.

It is an arithmetic number, because the mean of its divisors is an integer number (9661812160).

Almost surely, 2^{1540423234350} is an apocalyptic number.

1540423234350 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 1540423234350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782601902080).

1540423234350 is an abundant number, since it is smaller than the sum of its proper divisors (4024780569810).

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

1540423234350 is a wasteful number, since it uses less digits than its factorization.

1540423234350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 1540423234350 in words is "one trillion, five hundred forty billion, four hundred twenty-three million, two hundred thirty-four thousand, three hundred fifty".