1014134653400 has 192 divisors, whose sum is σ = 2606881898880. Its totient is φ = 363818649600.

The previous prime is 1014134653373. The next prime is 1014134653429. The reversal of 1014134653400 is 43564314101.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 143702672 + ... + 143709728.

It is an arithmetic number, because the mean of its divisors is an integer number (13577509890).

Almost surely, 2^{1014134653400} is an apocalyptic number.

1014134653400 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 1014134653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303440949440).

1014134653400 is an abundant number, since it is smaller than the sum of its proper divisors (1592747245480).

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

1014134653400 is a wasteful number, since it uses less digits than its factorization.

1014134653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1014134653400 its reverse (43564314101), we get a palindrome (1057698967501).

The spelling of 1014134653400 in words is "one trillion, fourteen billion, one hundred thirty-four million, six hundred fifty-three thousand, four hundred".