45603531440 has 40 divisors (see below), whose sum is σ = 106791029520. Its totient is φ = 18110174976.

The previous prime is 45603531439. The next prime is 45603531461. The reversal of 45603531440 is 4413530654.

45603531440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×45603531440³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45603531440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039399 + ... + 2061638.

It is an arithmetic number, because the mean of its divisors is an integer number (2669775738).

Almost surely, 2^45603531440 is an apocalyptic number.

45603531440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45603531440 is an abundant number, since it is smaller than the sum of its proper divisors (61187498080).

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

45603531440 is a wasteful number, since it uses less digits than its factorization.

45603531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101189 (or 4101183 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 45603531440 in words is "forty-five billion, six hundred three million, five hundred thirty-one thousand, four hundred forty".