40035060000 has 600 divisors, whose sum is σ = 158531475564. Its totient is φ = 9849600000.

The previous prime is 40035059983. The next prime is 40035060017. The reversal of 40035060000 is 6053004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40035059983) and next prime (40035060017).

It can be written as a sum of positive squares in 10 ways, for example, as 17617783824 + 22417276176 = 132732^2 + 149724^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059050 + ... + 21060950.

Almost surely, 2^40035060000 is an apocalyptic number.

40035060000 is a gapful number since it is divisible by the number (40) 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 40035060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79265737782).

40035060000 is an abundant number, since it is smaller than the sum of its proper divisors (118496415564).

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

40035060000 is a wasteful number, since it uses less digits than its factorization.

40035060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 40035060000 in words is "forty billion, thirty-five million, sixty thousand".