1451738125440 has 1024 divisors, whose sum is σ = 5928811200000. Its totient is φ = 333241122816.

The previous prime is 1451738125429. The next prime is 1451738125447. The reversal of 1451738125440 is 445218371541.

1451738125440 is a `hidden beast` number, since 1 + 4 + 5 + 17 + 381 + 254 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1451738125447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161857276 + ... + 161866244.

Almost surely, 2^{1451738125440} is an apocalyptic number.

1451738125440 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 1451738125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964405600000).

1451738125440 is an abundant number, since it is smaller than the sum of its proper divisors (4477073074560).

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

1451738125440 is a wasteful number, since it uses less digits than its factorization.

1451738125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1451738125440 in words is "one trillion, four hundred fifty-one billion, seven hundred thirty-eight million, one hundred twenty-five thousand, four hundred forty".