1534204414440 has 640 divisors, whose sum is σ = 5562186854400. Its totient is φ = 378115153920.

The previous prime is 1534204414363. The next prime is 1534204414441. The reversal of 1534204414440 is 444144024351.

1534204414440 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 204 + 4 + 1 + 4 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1534204414395 and 1534204414404.

It is not an unprimeable number, because it can be changed into a prime (1534204414441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 476903712 + ... + 476906928.

It is an arithmetic number, because the mean of its divisors is an integer number (8690916960).

Almost surely, 2^{1534204414440} is an apocalyptic number.

1534204414440 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 1534204414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781093427200).

1534204414440 is an abundant number, since it is smaller than the sum of its proper divisors (4027982439960).

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

1534204414440 is a wasteful number, since it uses less digits than its factorization.

1534204414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1534204414440 its reverse (444144024351), we get a palindrome (1978348438791).

The spelling of 1534204414440 in words is "one trillion, five hundred thirty-four billion, two hundred four million, four hundred fourteen thousand, four hundred forty".