1451312041641 has 64 divisors (see below), whose sum is σ = 2447072280576. Its totient is φ = 743151124800.

The previous prime is 1451312041483. The next prime is 1451312041649. The reversal of 1451312041641 is 1461402131541.

It is not a de Polignac number, because 1451312041641 - 2¹⁴ = 1451312025257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1451312041649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142798426 + ... + 142808588.

It is an arithmetic number, because the mean of its divisors is an integer number (38235504384).

Almost surely, 2^{1451312041641} is an apocalyptic number.

1451312041641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1451312041641 is a deficient number, since it is larger than the sum of its proper divisors (995760238935).

1451312041641 is a wasteful number, since it uses less digits than its factorization.

1451312041641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18962.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1451312041641 in words is "one trillion, four hundred fifty-one billion, three hundred twelve million, forty-one thousand, six hundred forty-one".