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40722494040 = 2336519312371
BaseRepresentation
bin100101111011001111…
…111111001001011000
310220010000120001000000
4211323033333021120
51131344424302130
630412504213000
72641066326264
oct457317771130
9126100501000
1040722494040
11162a7871558
127a85a6a160
133abc969327
141d8451d0a4
1510d514e260
hex97b3ff258

40722494040 has 448 divisors, whose sum is σ = 149333529600. Its totient is φ = 9951724800.

The previous prime is 40722494027. The next prime is 40722494107. The reversal of 40722494040 is 4049422704.

40722494040 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 249 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40722493986 and 40722494004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17174055 + ... + 17176425.

Almost surely, 240722494040 is an apocalyptic number.

40722494040 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 40722494040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74666764800).

40722494040 is an abundant number, since it is smaller than the sum of its proper divisors (108611035560).

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

40722494040 is a wasteful number, since it uses less digits than its factorization.

40722494040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

It can be divided in two parts, 407224 and 94040, that added together give a square (501264 = 7082).

The spelling of 40722494040 in words is "forty billion, seven hundred twenty-two million, four hundred ninety-four thousand, forty".