73406737407040 has 56 divisors (see below), whose sum is σ = 179063203078872. Its totient is φ = 28646531665920.

The previous prime is 73406737407023. The next prime is 73406737407049. The reversal of 73406737407040 is 4070473760437.

It can be written as a sum of positive squares in 4 ways, for example, as 2351143822336 + 71055593584704 = 1533344^2 + 8429448^2 .

It is a super-2 number, since 2×73406737407040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73406737407049) 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, 2797499739 + ... + 2797525978.

It is an arithmetic number, because the mean of its divisors is an integer number (3197557197837).

Almost surely, 2^{73406737407040} is an apocalyptic number.

It is an amenable number.

73406737407040 is an abundant number, since it is smaller than the sum of its proper divisors (105656465671832).

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

73406737407040 is a wasteful number, since it uses less digits than its factorization.

73406737407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595025775 (or 5595025765 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 52.

The spelling of 73406737407040 in words is "seventy-three trillion, four hundred six billion, seven hundred thirty-seven million, four hundred seven thousand, forty".