1451150201640 has 256 divisors, whose sum is σ = 4493633760000. Its totient is φ = 374623764480.

The previous prime is 1451150201617. The next prime is 1451150201659. The reversal of 1451150201640 is 461020511541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1451150201598 and 1451150201607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919030371 + ... + 919031949.

It is an arithmetic number, because the mean of its divisors is an integer number (17553256875).

Almost surely, 2^{1451150201640} is an apocalyptic number.

1451150201640 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 1451150201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246816880000).

1451150201640 is an abundant number, since it is smaller than the sum of its proper divisors (3042483558360).

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

1451150201640 is a wasteful number, since it uses less digits than its factorization.

1451150201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1451150201640 in words is "one trillion, four hundred fifty-one billion, one hundred fifty million, two hundred one thousand, six hundred forty".