10054151440 has 40 divisors (see below), whose sum is σ = 23396817240. Its totient is φ = 4018062336.

The previous prime is 10054151369. The next prime is 10054151447. The reversal of 10054151440 is 4415145001.

It can be written as a sum of positive squares in 4 ways, for example, as 640494864 + 9413656576 = 25308^2 + 97024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10054151440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10054151447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34662 + ... + 145978.

It is an arithmetic number, because the mean of its divisors is an integer number (584920431).

Almost surely, 2^10054151440 is an apocalyptic number.

10054151440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054151440 is an abundant number, since it is smaller than the sum of its proper divisors (13342665800).

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

10054151440 is a wasteful number, since it uses less digits than its factorization.

10054151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112459 (or 112453 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10054151440 its reverse (4415145001), we get a palindrome (14469296441).

The spelling of 10054151440 in words is "ten billion, fifty-four million, one hundred fifty-one thousand, four hundred forty".