134407341702400 has 432 divisors, whose sum is σ = 367184052935280. Its totient is φ = 48393702604800.

The previous prime is 134407341702343. The next prime is 134407341702409. The reversal of 134407341702400 is 4207143704431.

It can be written as a sum of positive squares in 24 ways, for example, as 123558697564416 + 10848644137984 = 11115696^2 + 3293728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134407341702409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8149348554 + ... + 8149365046.

Almost surely, 2^{134407341702400} is an apocalyptic number.

134407341702400 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 134407341702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183592026467640).

134407341702400 is an abundant number, since it is smaller than the sum of its proper divisors (232776711232880).

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

134407341702400 is a wasteful number, since it uses less digits than its factorization.

134407341702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18962 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 134407341702400 in words is "one hundred thirty-four trillion, four hundred seven billion, three hundred forty-one million, seven hundred two thousand, four hundred".